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Finding the Fourth Proportional to 157,538, 217,393.76 and 89,545.52

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Solution

The fourth proportional to 157,538, 217,393.76 and 89,545.52 is: 123,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,538 : 217,393.76 = 89,545.52 : x
  2. Step 2: Convert to fraction form
    157,538/217,393.76 = 89,545.52/x
  3. Step 3: Cross multiply
    157,538x = 217,393.76 × 89,545.52
  4. Step 4: Simplify right side
    157,538x = 19,466,637,283.96
  5. Step 5: Solve for x
    x = 19,466,637,283.96/157,538
  6. Step 6: Final answer
    x = 123,567.88

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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.