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Finding the Fourth Proportional to 157,085.49, 216,792.42 and 89,124.60

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Solution

The fourth proportional to 157,085.49, 216,792.42 and 89,124.60 is: 123,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,085.49 : 216,792.42 = 89,124.60 : x
  2. Step 2: Convert to fraction form
    157,085.49/216,792.42 = 89,124.60/x
  3. Step 3: Cross multiply
    157,085.49x = 216,792.42 × 89,124.60
  4. Step 4: Simplify right side
    157,085.49x = 19,321,537,715.53
  5. Step 5: Solve for x
    x = 19,321,537,715.53/157,085.49
  6. Step 6: Final answer
    x = 123,000.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.