Step 1 :Calculate the down payment which is 20% of the purchase price of the home. So, \(0.20 \times 219,767 = 43,953.4\)
Step 2 :To find out how much Kellan will need to borrow from the bank, subtract the down payment from the purchase price of the home. So, \(219,767 - 43,953.4 = 175,813.6\)
Step 3 :To check our work, we can add the down payment and the amount borrowed to make sure it equals the purchase price of the home. So, \(43,953.4 + 175,813.6 = 219,767\)
Step 4 :So, the final answer is Kellan will need to borrow \(\boxed{175,813.6}\) from the bank.