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Finding the Fourth Proportional to 148,934.70, 205,531.02 and 80,951.70

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Solution

The fourth proportional to 148,934.70, 205,531.02 and 80,951.70 is: 111,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,934.70 : 205,531.02 = 80,951.70 : x
  2. Step 2: Convert to fraction form
    148,934.70/205,531.02 = 80,951.70/x
  3. Step 3: Cross multiply
    148,934.70x = 205,531.02 × 80,951.70
  4. Step 4: Simplify right side
    148,934.70x = 16,638,085,471.73
  5. Step 5: Solve for x
    x = 16,638,085,471.73/148,934.70
  6. Step 6: Final answer
    x = 111,713.96

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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.