A client contracted for a house to be built on a plot of land that cost him $100,000. The builder completed the house for $250,000. The client has contacted an insurance agent about obtaining an HO-3 homeowners insurance policy that will insure the house for its replacement cost. The policy will have an 80% coinsurance provision and a $2,000 deductible. How much insurance does the client need to buy to cover the full replacement cost of the house in the event of a total loss by fire?