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Finding the Fourth Proportional to 151,996, 227,997.24 and 52,155.76

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Solution

The fourth proportional to 151,996, 227,997.24 and 52,155.76 is: 78,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,996 : 227,997.24 = 52,155.76 : x
  2. Step 2: Convert to fraction form
    151,996/227,997.24 = 52,155.76/x
  3. Step 3: Cross multiply
    151,996x = 227,997.24 × 52,155.76
  4. Step 4: Simplify right side
    151,996x = 11,891,369,330.10
  5. Step 5: Solve for x
    x = 11,891,369,330.10/151,996
  6. Step 6: Final answer
    x = 78,234.75

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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.