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Finding the Fourth Proportional to 159,760.76, 220,539.92 and 106,091.78

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Solution

The fourth proportional to 159,760.76, 220,539.92 and 106,091.78 is: 146,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,760.76 : 220,539.92 = 106,091.78 : x
  2. Step 2: Convert to fraction form
    159,760.76/220,539.92 = 106,091.78/x
  3. Step 3: Cross multiply
    159,760.76x = 220,539.92 × 106,091.78
  4. Step 4: Simplify right side
    159,760.76x = 23,397,471,040.70
  5. Step 5: Solve for x
    x = 23,397,471,040.70/159,760.76
  6. Step 6: Final answer
    x = 146,453.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.