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I'm going to sound too bold but seeing how PS4 has sold over 7 million in the first 5 months this year compared to around 5 million last year in the same timeframe, here goes:

2017- 21 million (Probably more, it should get to 20 million even if it sells only as much as it did last year for the rest of the year, which is unlikely considering Gran Turismo is on the way this holiday. Should be around 74-75 million by the end of the year)
2018- 22 million (This will be it's peak year, we have God of War, Days Gone, Detroit and Spiderman coming. Along with Red Dead Redemption 2. Spiderman and RDR2 will sell a lot of PS4s even to people who normally wouldn't be looking at a Playstation. Should be around 95 million by the end of 2018)
2019- 15 million (Should start dropping in 2019, still big games coming though like Last of Us 2, Death Stranding and likely FFVII Remake and Suckerpunch's game so shouldn't drop too hard. Should be around 110 million by the end of 2019)
2020- This is a tricky one, will depend on whether PS5 releases at the end of 2019 or 2020. If 2019 then sales should see a steeper decline to around 5 million, if PS5 comes in 2020 then it should sustain well and sell another 10 million.

Overall I think it should cross 130 million quite easily.