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Finding the Fourth Proportional to 274,077.92, 411,161.24 and 84,493.96

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Solution

The fourth proportional to 274,077.92, 411,161.24 and 84,493.96 is: 126,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,077.92 : 411,161.24 = 84,493.96 : x
  2. Step 2: Convert to fraction form
    274,077.92/411,161.24 = 84,493.96/x
  3. Step 3: Cross multiply
    274,077.92x = 411,161.24 × 84,493.96
  4. Step 4: Simplify right side
    274,077.92x = 34,740,641,366.11
  5. Step 5: Solve for x
    x = 34,740,641,366.11/274,077.92
  6. Step 6: Final answer
    x = 126,754.62

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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.