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Finding the Fourth Proportional to 225,872.48, 338,839.92 and 76,155.56

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Solution

The fourth proportional to 225,872.48, 338,839.92 and 76,155.56 is: 114,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,872.48 : 338,839.92 = 76,155.56 : x
  2. Step 2: Convert to fraction form
    225,872.48/338,839.92 = 76,155.56/x
  3. Step 3: Cross multiply
    225,872.48x = 338,839.92 × 76,155.56
  4. Step 4: Simplify right side
    225,872.48x = 25,804,543,857.96
  5. Step 5: Solve for x
    x = 25,804,543,857.96/225,872.48
  6. Step 6: Final answer
    x = 114,243.86

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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.