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Finding the Fourth Proportional to 331,213.20, 496,819.80 and 81,895.20

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Solution

The fourth proportional to 331,213.20, 496,819.80 and 81,895.20 is: 122,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,213.20 : 496,819.80 = 81,895.20 : x
  2. Step 2: Convert to fraction form
    331,213.20/496,819.80 = 81,895.20/x
  3. Step 3: Cross multiply
    331,213.20x = 496,819.80 × 81,895.20
  4. Step 4: Simplify right side
    331,213.20x = 40,687,156,884.96
  5. Step 5: Solve for x
    x = 40,687,156,884.96/331,213.20
  6. Step 6: Final answer
    x = 122,842.80

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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.