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Finding the Fourth Proportional to 278,049.92, 417,010.48 and 165,761.60

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Solution

The fourth proportional to 278,049.92, 417,010.48 and 165,761.60 is: 248,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,049.92 : 417,010.48 = 165,761.60 : x
  2. Step 2: Convert to fraction form
    278,049.92/417,010.48 = 165,761.60/x
  3. Step 3: Cross multiply
    278,049.92x = 417,010.48 × 165,761.60
  4. Step 4: Simplify right side
    278,049.92x = 69,124,324,381.57
  5. Step 5: Solve for x
    x = 69,124,324,381.57/278,049.92
  6. Step 6: Final answer
    x = 248,604.01

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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.