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Finding the Fourth Proportional to 204,254.88, 281,867.69 and 113,608.90

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Solution

The fourth proportional to 204,254.88, 281,867.69 and 113,608.90 is: 156,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,254.88 : 281,867.69 = 113,608.90 : x
  2. Step 2: Convert to fraction form
    204,254.88/281,867.69 = 113,608.90/x
  3. Step 3: Cross multiply
    204,254.88x = 281,867.69 × 113,608.90
  4. Step 4: Simplify right side
    204,254.88x = 32,022,676,229.06
  5. Step 5: Solve for x
    x = 32,022,676,229.06/204,254.88
  6. Step 6: Final answer
    x = 156,778.02

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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.