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Finding the Fourth Proportional to 204,657.25, 282,446.11 and 119,774.38

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Solution

The fourth proportional to 204,657.25, 282,446.11 and 119,774.38 is: 165,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,657.25 : 282,446.11 = 119,774.38 : x
  2. Step 2: Convert to fraction form
    204,657.25/282,446.11 = 119,774.38/x
  3. Step 3: Cross multiply
    204,657.25x = 282,446.11 × 119,774.38
  4. Step 4: Simplify right side
    204,657.25x = 33,829,807,708.66
  5. Step 5: Solve for x
    x = 33,829,807,708.66/204,657.25
  6. Step 6: Final answer
    x = 165,299.83

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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.