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Finding the Fourth Proportional to 137,132.28, 205,724.16 and 62,257.68

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Solution

The fourth proportional to 137,132.28, 205,724.16 and 62,257.68 is: 93,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.28 : 205,724.16 = 62,257.68 : x
  2. Step 2: Convert to fraction form
    137,132.28/205,724.16 = 62,257.68/x
  3. Step 3: Cross multiply
    137,132.28x = 205,724.16 × 62,257.68
  4. Step 4: Simplify right side
    137,132.28x = 12,807,908,921.55
  5. Step 5: Solve for x
    x = 12,807,908,921.55/137,132.28
  6. Step 6: Final answer
    x = 93,398.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.