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Finding the Fourth Proportional to 204,171.60, 281,757.60 and 113,535.84

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Solution

The fourth proportional to 204,171.60, 281,757.60 and 113,535.84 is: 156,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,171.60 : 281,757.60 = 113,535.84 : x
  2. Step 2: Convert to fraction form
    204,171.60/281,757.60 = 113,535.84/x
  3. Step 3: Cross multiply
    204,171.60x = 281,757.60 × 113,535.84
  4. Step 4: Simplify right side
    204,171.60x = 31,989,585,792.38
  5. Step 5: Solve for x
    x = 31,989,585,792.38/204,171.60
  6. Step 6: Final answer
    x = 156,679.90

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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.