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Finding the Fourth Proportional to 129,822.40, 194,711.52 and 36,306.40

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Solution

The fourth proportional to 129,822.40, 194,711.52 and 36,306.40 is: 54,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822.40 : 194,711.52 = 36,306.40 : x
  2. Step 2: Convert to fraction form
    129,822.40/194,711.52 = 36,306.40/x
  3. Step 3: Cross multiply
    129,822.40x = 194,711.52 × 36,306.40
  4. Step 4: Simplify right side
    129,822.40x = 7,069,274,329.73
  5. Step 5: Solve for x
    x = 7,069,274,329.73/129,822.40
  6. Step 6: Final answer
    x = 54,453.43

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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.