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Finding the Fourth Proportional to 200,842.48, 301,251.34 and 82,510.75

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Solution

The fourth proportional to 200,842.48, 301,251.34 and 82,510.75 is: 123,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842.48 : 301,251.34 = 82,510.75 : x
  2. Step 2: Convert to fraction form
    200,842.48/301,251.34 = 82,510.75/x
  3. Step 3: Cross multiply
    200,842.48x = 301,251.34 × 82,510.75
  4. Step 4: Simplify right side
    200,842.48x = 24,856,474,001.91
  5. Step 5: Solve for x
    x = 24,856,474,001.91/200,842.48
  6. Step 6: Final answer
    x = 123,761.04

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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.