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Finding the Fourth Proportional to 250,713.54, 376,082.46 and 82,218.96

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Solution

The fourth proportional to 250,713.54, 376,082.46 and 82,218.96 is: 123,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,713.54 : 376,082.46 = 82,218.96 : x
  2. Step 2: Convert to fraction form
    250,713.54/376,082.46 = 82,218.96/x
  3. Step 3: Cross multiply
    250,713.54x = 376,082.46 × 82,218.96
  4. Step 4: Simplify right side
    250,713.54x = 30,921,108,735.44
  5. Step 5: Solve for x
    x = 30,921,108,735.44/250,713.54
  6. Step 6: Final answer
    x = 123,332.42

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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.