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Finding the Fourth Proportional to 80,204.50, 120,306.75 and 24,800.50

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Solution

The fourth proportional to 80,204.50, 120,306.75 and 24,800.50 is: 37,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,204.50 : 120,306.75 = 24,800.50 : x
  2. Step 2: Convert to fraction form
    80,204.50/120,306.75 = 24,800.50/x
  3. Step 3: Cross multiply
    80,204.50x = 120,306.75 × 24,800.50
  4. Step 4: Simplify right side
    80,204.50x = 2,983,667,553.38
  5. Step 5: Solve for x
    x = 2,983,667,553.38/80,204.50
  6. Step 6: Final answer
    x = 37,200.75

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Double scale
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Similar ratio
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1.5x scale

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.