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Finding the Fourth Proportional to 361,882.25, 542,828.00 and 95,640.47

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Solution

The fourth proportional to 361,882.25, 542,828.00 and 95,640.47 is: 143,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,882.25 : 542,828.00 = 95,640.47 : x
  2. Step 2: Convert to fraction form
    361,882.25/542,828.00 = 95,640.47/x
  3. Step 3: Cross multiply
    361,882.25x = 542,828.00 × 95,640.47
  4. Step 4: Simplify right side
    361,882.25x = 51,916,324,609.73
  5. Step 5: Solve for x
    x = 51,916,324,609.73/361,882.25
  6. Step 6: Final answer
    x = 143,461.92

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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.