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Finding the Fourth Proportional to 157,240.57, 216,936.63 and 102,824.59

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Solution

The fourth proportional to 157,240.57, 216,936.63 and 102,824.59 is: 141,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,240.57 : 216,936.63 = 102,824.59 : x
  2. Step 2: Convert to fraction form
    157,240.57/216,936.63 = 102,824.59/x
  3. Step 3: Cross multiply
    157,240.57x = 216,936.63 × 102,824.59
  4. Step 4: Simplify right side
    157,240.57x = 22,306,419,900.15
  5. Step 5: Solve for x
    x = 22,306,419,900.15/157,240.57
  6. Step 6: Final answer
    x = 141,861.74

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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.