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Finding the Fourth Proportional to 204,099.86, 281,438.07 and 127,591.04

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Solution

The fourth proportional to 204,099.86, 281,438.07 and 127,591.04 is: 175,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,099.86 : 281,438.07 = 127,591.04 : x
  2. Step 2: Convert to fraction form
    204,099.86/281,438.07 = 127,591.04/x
  3. Step 3: Cross multiply
    204,099.86x = 281,438.07 × 127,591.04
  4. Step 4: Simplify right side
    204,099.86x = 35,908,976,046.89
  5. Step 5: Solve for x
    x = 35,908,976,046.89/204,099.86
  6. Step 6: Final answer
    x = 175,938.27

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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.