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Finding the Fourth Proportional to 206,575.20, 309,894.03 and 73,423.80

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Solution

The fourth proportional to 206,575.20, 309,894.03 and 73,423.80 is: 110,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,575.20 : 309,894.03 = 73,423.80 : x
  2. Step 2: Convert to fraction form
    206,575.20/309,894.03 = 73,423.80/x
  3. Step 3: Cross multiply
    206,575.20x = 309,894.03 × 73,423.80
  4. Step 4: Simplify right side
    206,575.20x = 22,753,597,279.91
  5. Step 5: Solve for x
    x = 22,753,597,279.91/206,575.20
  6. Step 6: Final answer
    x = 110,146.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.