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Finding the Fourth Proportional to 131,871.20, 181,982.05 and 71,443.38

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Solution

The fourth proportional to 131,871.20, 181,982.05 and 71,443.38 is: 98,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,871.20 : 181,982.05 = 71,443.38 : x
  2. Step 2: Convert to fraction form
    131,871.20/181,982.05 = 71,443.38/x
  3. Step 3: Cross multiply
    131,871.20x = 181,982.05 × 71,443.38
  4. Step 4: Simplify right side
    131,871.20x = 13,001,412,751.33
  5. Step 5: Solve for x
    x = 13,001,412,751.33/131,871.20
  6. Step 6: Final answer
    x = 98,591.75

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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.