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Finding the Fourth Proportional to 279,951.20, 419,926.80 and 185,472.80

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Solution

The fourth proportional to 279,951.20, 419,926.80 and 185,472.80 is: 278,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,951.20 : 419,926.80 = 185,472.80 : x
  2. Step 2: Convert to fraction form
    279,951.20/419,926.80 = 185,472.80/x
  3. Step 3: Cross multiply
    279,951.20x = 419,926.80 × 185,472.80
  4. Step 4: Simplify right side
    279,951.20x = 77,884,999,391.04
  5. Step 5: Solve for x
    x = 77,884,999,391.04/279,951.20
  6. Step 6: Final answer
    x = 278,209.20

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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.