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Finding the Fourth Proportional to 176,143.30, 263,912.55 and 82,456.90

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Solution

The fourth proportional to 176,143.30, 263,912.55 and 82,456.90 is: 123,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,143.30 : 263,912.55 = 82,456.90 : x
  2. Step 2: Convert to fraction form
    176,143.30/263,912.55 = 82,456.90/x
  3. Step 3: Cross multiply
    176,143.30x = 263,912.55 × 82,456.90
  4. Step 4: Simplify right side
    176,143.30x = 21,761,410,744.10
  5. Step 5: Solve for x
    x = 21,761,410,744.10/176,143.30
  6. Step 6: Final answer
    x = 123,543.79

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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.