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Finding the Fourth Proportional to 204,255.87, 281,838.92 and 113,599.86

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Solution

The fourth proportional to 204,255.87, 281,838.92 and 113,599.86 is: 156,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,255.87 : 281,838.92 = 113,599.86 : x
  2. Step 2: Convert to fraction form
    204,255.87/281,838.92 = 113,599.86/x
  3. Step 3: Cross multiply
    204,255.87x = 281,838.92 × 113,599.86
  4. Step 4: Simplify right side
    204,255.87x = 32,016,861,854.55
  5. Step 5: Solve for x
    x = 32,016,861,854.55/204,255.87
  6. Step 6: Final answer
    x = 156,748.80

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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.