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Finding the Fourth Proportional to 204,144.46, 281,706.44 and 113,498.78

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Solution

The fourth proportional to 204,144.46, 281,706.44 and 113,498.78 is: 156,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,144.46 : 281,706.44 = 113,498.78 : x
  2. Step 2: Convert to fraction form
    204,144.46/281,706.44 = 113,498.78/x
  3. Step 3: Cross multiply
    204,144.46x = 281,706.44 × 113,498.78
  4. Step 4: Simplify right side
    204,144.46x = 31,973,337,258.14
  5. Step 5: Solve for x
    x = 31,973,337,258.14/204,144.46
  6. Step 6: Final answer
    x = 156,621.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.