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Finding the Fourth Proportional to 274,221.92, 410,749.56 and 161,780.96

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Solution

The fourth proportional to 274,221.92, 410,749.56 and 161,780.96 is: 242,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,221.92 : 410,749.56 = 161,780.96 : x
  2. Step 2: Convert to fraction form
    274,221.92/410,749.56 = 161,780.96/x
  3. Step 3: Cross multiply
    274,221.92x = 410,749.56 × 161,780.96
  4. Step 4: Simplify right side
    274,221.92x = 66,451,458,136.38
  5. Step 5: Solve for x
    x = 66,451,458,136.38/274,221.92
  6. Step 6: Final answer
    x = 242,327.30

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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.