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Finding the Fourth Proportional to 204,609.38, 282,400.16 and 115,185.38

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Solution

The fourth proportional to 204,609.38, 282,400.16 and 115,185.38 is: 158,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,609.38 : 282,400.16 = 115,185.38 : x
  2. Step 2: Convert to fraction form
    204,609.38/282,400.16 = 115,185.38/x
  3. Step 3: Cross multiply
    204,609.38x = 282,400.16 × 115,185.38
  4. Step 4: Simplify right side
    204,609.38x = 32,528,367,753.73
  5. Step 5: Solve for x
    x = 32,528,367,753.73/204,609.38
  6. Step 6: Final answer
    x = 158,977.90

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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.