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Finding the Fourth Proportional to 177,393.92, 266,181.59 and 83,874.56

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Solution

The fourth proportional to 177,393.92, 266,181.59 and 83,874.56 is: 125,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,393.92 : 266,181.59 = 83,874.56 : x
  2. Step 2: Convert to fraction form
    177,393.92/266,181.59 = 83,874.56/x
  3. Step 3: Cross multiply
    177,393.92x = 266,181.59 × 83,874.56
  4. Step 4: Simplify right side
    177,393.92x = 22,325,862,620.13
  5. Step 5: Solve for x
    x = 22,325,862,620.13/177,393.92
  6. Step 6: Final answer
    x = 125,854.73

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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.