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Finding the Fourth Proportional to 204,997.52, 282,902.28 and 120,118.16

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Solution

The fourth proportional to 204,997.52, 282,902.28 and 120,118.16 is: 165,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997.52 : 282,902.28 = 120,118.16 : x
  2. Step 2: Convert to fraction form
    204,997.52/282,902.28 = 120,118.16/x
  3. Step 3: Cross multiply
    204,997.52x = 282,902.28 × 120,118.16
  4. Step 4: Simplify right side
    204,997.52x = 33,981,701,333.40
  5. Step 5: Solve for x
    x = 33,981,701,333.40/204,997.52
  6. Step 6: Final answer
    x = 165,766.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.