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Finding the Fourth Proportional to 96,120.30, 144,098.34 and 67,951.74

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Solution

The fourth proportional to 96,120.30, 144,098.34 and 67,951.74 is: 101,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,120.30 : 144,098.34 = 67,951.74 : x
  2. Step 2: Convert to fraction form
    96,120.30/144,098.34 = 67,951.74/x
  3. Step 3: Cross multiply
    96,120.30x = 144,098.34 × 67,951.74
  4. Step 4: Simplify right side
    96,120.30x = 9,791,732,934.11
  5. Step 5: Solve for x
    x = 9,791,732,934.11/96,120.30
  6. Step 6: Final answer
    x = 101,869.56

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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.