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Finding the Fourth Proportional to 151,624, 227,517.92 and 73,800

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Solution

The fourth proportional to 151,624, 227,517.92 and 73,800 is: 110,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,624 : 227,517.92 = 73,800 : x
  2. Step 2: Convert to fraction form
    151,624/227,517.92 = 73,800/x
  3. Step 3: Cross multiply
    151,624x = 227,517.92 × 73,800
  4. Step 4: Simplify right side
    151,624x = 16,790,822,496
  5. Step 5: Solve for x
    x = 16,790,822,496/151,624
  6. Step 6: Final answer
    x = 110,739.87

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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.