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Finding the Fourth Proportional to 137,398.59, 189,286.32 and 129,131.73

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Solution

The fourth proportional to 137,398.59, 189,286.32 and 129,131.73 is: 177,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,398.59 : 189,286.32 = 129,131.73 : x
  2. Step 2: Convert to fraction form
    137,398.59/189,286.32 = 129,131.73/x
  3. Step 3: Cross multiply
    137,398.59x = 189,286.32 × 129,131.73
  4. Step 4: Simplify right side
    137,398.59x = 24,442,869,966.93
  5. Step 5: Solve for x
    x = 24,442,869,966.93/137,398.59
  6. Step 6: Final answer
    x = 177,897.53

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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.