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Finding the Fourth Proportional to 204,996.52, 282,900.90 and 120,117.16

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Solution

The fourth proportional to 204,996.52, 282,900.90 and 120,117.16 is: 165,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,996.52 : 282,900.90 = 120,117.16 : x
  2. Step 2: Convert to fraction form
    204,996.52/282,900.90 = 120,117.16/x
  3. Step 3: Cross multiply
    204,996.52x = 282,900.90 × 120,117.16
  4. Step 4: Simplify right side
    204,996.52x = 33,981,252,669.44
  5. Step 5: Solve for x
    x = 33,981,252,669.44/204,996.52
  6. Step 6: Final answer
    x = 165,765.02

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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.