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Finding the Fourth Proportional to 187,833.76, 281,646.96 and 77,103.52

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Solution

The fourth proportional to 187,833.76, 281,646.96 and 77,103.52 is: 115,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,833.76 : 281,646.96 = 77,103.52 : x
  2. Step 2: Convert to fraction form
    187,833.76/281,646.96 = 77,103.52/x
  3. Step 3: Cross multiply
    187,833.76x = 281,646.96 × 77,103.52
  4. Step 4: Simplify right side
    187,833.76x = 21,715,972,013.30
  5. Step 5: Solve for x
    x = 21,715,972,013.30/187,833.76
  6. Step 6: Final answer
    x = 115,612.72

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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.