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Finding the Fourth Proportional to 231,431.13, 319,359.90 and 129,438.90

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Solution

The fourth proportional to 231,431.13, 319,359.90 and 129,438.90 is: 178,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,431.13 : 319,359.90 = 129,438.90 : x
  2. Step 2: Convert to fraction form
    231,431.13/319,359.90 = 129,438.90/x
  3. Step 3: Cross multiply
    231,431.13x = 319,359.90 × 129,438.90
  4. Step 4: Simplify right side
    231,431.13x = 41,337,594,160.11
  5. Step 5: Solve for x
    x = 41,337,594,160.11/231,431.13
  6. Step 6: Final answer
    x = 178,617.26

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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.