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Finding the Fourth Proportional to 204,348.92, 281,959.26 and 119,449.56

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Solution

The fourth proportional to 204,348.92, 281,959.26 and 119,449.56 is: 164,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,348.92 : 281,959.26 = 119,449.56 : x
  2. Step 2: Convert to fraction form
    204,348.92/281,959.26 = 119,449.56/x
  3. Step 3: Cross multiply
    204,348.92x = 281,959.26 × 119,449.56
  4. Step 4: Simplify right side
    204,348.92x = 33,679,909,544.93
  5. Step 5: Solve for x
    x = 33,679,909,544.93/204,348.92
  6. Step 6: Final answer
    x = 164,815.70

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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.