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Finding the Fourth Proportional to 129,877.60, 194,767.80 and 45,605.20

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Solution

The fourth proportional to 129,877.60, 194,767.80 and 45,605.20 is: 68,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,877.60 : 194,767.80 = 45,605.20 : x
  2. Step 2: Convert to fraction form
    129,877.60/194,767.80 = 45,605.20/x
  3. Step 3: Cross multiply
    129,877.60x = 194,767.80 × 45,605.20
  4. Step 4: Simplify right side
    129,877.60x = 8,882,424,472.56
  5. Step 5: Solve for x
    x = 8,882,424,472.56/129,877.60
  6. Step 6: Final answer
    x = 68,390.73

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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.