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Finding the Fourth Proportional to 129,951.52, 194,934.24 and 41,211.76

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Solution

The fourth proportional to 129,951.52, 194,934.24 and 41,211.76 is: 61,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,951.52 : 194,934.24 = 41,211.76 : x
  2. Step 2: Convert to fraction form
    129,951.52/194,934.24 = 41,211.76/x
  3. Step 3: Cross multiply
    129,951.52x = 194,934.24 × 41,211.76
  4. Step 4: Simplify right side
    129,951.52x = 8,033,583,114.66
  5. Step 5: Solve for x
    x = 8,033,583,114.66/129,951.52
  6. Step 6: Final answer
    x = 61,819.85

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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.