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Finding the Fourth Proportional to 231,398.67, 319,330.86 and 129,425.85

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Solution

The fourth proportional to 231,398.67, 319,330.86 and 129,425.85 is: 178,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,398.67 : 319,330.86 = 129,425.85 : x
  2. Step 2: Convert to fraction form
    231,398.67/319,330.86 = 129,425.85/x
  3. Step 3: Cross multiply
    231,398.67x = 319,330.86 × 129,425.85
  4. Step 4: Simplify right side
    231,398.67x = 41,329,667,501.38
  5. Step 5: Solve for x
    x = 41,329,667,501.38/231,398.67
  6. Step 6: Final answer
    x = 178,608.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.