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Finding the Fourth Proportional to 178,305.56, 267,394.64 and 83,519.55

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Solution

The fourth proportional to 178,305.56, 267,394.64 and 83,519.55 is: 125,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305.56 : 267,394.64 = 83,519.55 : x
  2. Step 2: Convert to fraction form
    178,305.56/267,394.64 = 83,519.55/x
  3. Step 3: Cross multiply
    178,305.56x = 267,394.64 × 83,519.55
  4. Step 4: Simplify right side
    178,305.56x = 22,332,679,587.61
  5. Step 5: Solve for x
    x = 22,332,679,587.61/178,305.56
  6. Step 6: Final answer
    x = 125,249.49

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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.