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Finding the Fourth Proportional to 178,255.60, 267,203.48 and 111,742.44

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Solution

The fourth proportional to 178,255.60, 267,203.48 and 111,742.44 is: 167,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,255.60 : 267,203.48 = 111,742.44 : x
  2. Step 2: Convert to fraction form
    178,255.60/267,203.48 = 111,742.44/x
  3. Step 3: Cross multiply
    178,255.60x = 267,203.48 × 111,742.44
  4. Step 4: Simplify right side
    178,255.60x = 29,857,967,270.97
  5. Step 5: Solve for x
    x = 29,857,967,270.97/178,255.60
  6. Step 6: Final answer
    x = 167,500.87

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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.