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Finding the Fourth Proportional to 204,176.16, 281,672.16 and 119,255.76

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Solution

The fourth proportional to 204,176.16, 281,672.16 and 119,255.76 is: 164,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,176.16 : 281,672.16 = 119,255.76 : x
  2. Step 2: Convert to fraction form
    204,176.16/281,672.16 = 119,255.76/x
  3. Step 3: Cross multiply
    204,176.16x = 281,672.16 × 119,255.76
  4. Step 4: Simplify right side
    204,176.16x = 33,591,027,511.64
  5. Step 5: Solve for x
    x = 33,591,027,511.64/204,176.16
  6. Step 6: Final answer
    x = 164,519.83

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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.