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Finding the Fourth Proportional to 204,339.44, 281,985.72 and 114,915.44

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Solution

The fourth proportional to 204,339.44, 281,985.72 and 114,915.44 is: 158,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,339.44 : 281,985.72 = 114,915.44 : x
  2. Step 2: Convert to fraction form
    204,339.44/281,985.72 = 114,915.44/x
  3. Step 3: Cross multiply
    204,339.44x = 281,985.72 × 114,915.44
  4. Step 4: Simplify right side
    204,339.44x = 32,404,513,087.52
  5. Step 5: Solve for x
    x = 32,404,513,087.52/204,339.44
  6. Step 6: Final answer
    x = 158,581.78

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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.