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Finding the Fourth Proportional to 107,565.92, 161,289.84 and 82,543.52

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Solution

The fourth proportional to 107,565.92, 161,289.84 and 82,543.52 is: 123,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,565.92 : 161,289.84 = 82,543.52 : x
  2. Step 2: Convert to fraction form
    107,565.92/161,289.84 = 82,543.52/x
  3. Step 3: Cross multiply
    107,565.92x = 161,289.84 × 82,543.52
  4. Step 4: Simplify right side
    107,565.92x = 13,313,431,133.84
  5. Step 5: Solve for x
    x = 13,313,431,133.84/107,565.92
  6. Step 6: Final answer
    x = 123,769.97

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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.