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Finding the Fourth Proportional to 204,330.82, 281,972.11 and 118,293.44

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Solution

The fourth proportional to 204,330.82, 281,972.11 and 118,293.44 is: 163,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,330.82 : 281,972.11 = 118,293.44 : x
  2. Step 2: Convert to fraction form
    204,330.82/281,972.11 = 118,293.44/x
  3. Step 3: Cross multiply
    204,330.82x = 281,972.11 × 118,293.44
  4. Step 4: Simplify right side
    204,330.82x = 33,355,451,285.16
  5. Step 5: Solve for x
    x = 33,355,451,285.16/204,330.82
  6. Step 6: Final answer
    x = 163,242.39

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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.