Jim and his wife Pam are thinking about buying a house in Philadelphia in four years. They will have $170,000 from the sale of their house in Scranton. They are planning on putting the money from the sale into an account that pays 5.4% APR compounded monthly. They will also contribute $4,000 to the account per year. They will live in an apartment for the four years between the move. How expensive can their house in Philadelphia be if they pay for it with the money in the account?