You need a 25-year, fixed-rate mortgage to buy a new home for $200,000. Your mortgage bank will lend you the money at a 6.5 percent APR for this 300-month loan. However, you can afford monthly payments of only $900, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment. This balloon payment will have to be in the amount of $for you to keep your monthly payments at $900. Can you show me how to solve this?