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Finding the Fourth Proportional to 167,691.61, 251,292.78 and 77,761.75

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Solution

The fourth proportional to 167,691.61, 251,292.78 and 77,761.75 is: 116,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,691.61 : 251,292.78 = 77,761.75 : x
  2. Step 2: Convert to fraction form
    167,691.61/251,292.78 = 77,761.75/x
  3. Step 3: Cross multiply
    167,691.61x = 251,292.78 × 77,761.75
  4. Step 4: Simplify right side
    167,691.61x = 19,540,966,335.17
  5. Step 5: Solve for x
    x = 19,540,966,335.17/167,691.61
  6. Step 6: Final answer
    x = 116,529.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.