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Finding the Fourth Proportional to 231,761.66, 319,691.41 and 136,189.76

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Solution

The fourth proportional to 231,761.66, 319,691.41 and 136,189.76 is: 187,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,761.66 : 319,691.41 = 136,189.76 : x
  2. Step 2: Convert to fraction form
    231,761.66/319,691.41 = 136,189.76/x
  3. Step 3: Cross multiply
    231,761.66x = 319,691.41 × 136,189.76
  4. Step 4: Simplify right side
    231,761.66x = 43,538,694,463.03
  5. Step 5: Solve for x
    x = 43,538,694,463.03/231,761.66
  6. Step 6: Final answer
    x = 187,859.78

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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.