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Finding the Fourth Proportional to 145,387.67, 200,644.17 and 81,729.57

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Solution

The fourth proportional to 145,387.67, 200,644.17 and 81,729.57 is: 112,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,387.67 : 200,644.17 = 81,729.57 : x
  2. Step 2: Convert to fraction form
    145,387.67/200,644.17 = 81,729.57/x
  3. Step 3: Cross multiply
    145,387.67x = 200,644.17 × 81,729.57
  4. Step 4: Simplify right side
    145,387.67x = 16,398,561,737.11
  5. Step 5: Solve for x
    x = 16,398,561,737.11/145,387.67
  6. Step 6: Final answer
    x = 112,791.97

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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.