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Finding the Fourth Proportional to 204,538.52, 282,340.20 and 119,682.92

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Solution

The fourth proportional to 204,538.52, 282,340.20 and 119,682.92 is: 165,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538.52 : 282,340.20 = 119,682.92 : x
  2. Step 2: Convert to fraction form
    204,538.52/282,340.20 = 119,682.92/x
  3. Step 3: Cross multiply
    204,538.52x = 282,340.20 × 119,682.92
  4. Step 4: Simplify right side
    204,538.52x = 33,791,299,569.38
  5. Step 5: Solve for x
    x = 33,791,299,569.38/204,538.52
  6. Step 6: Final answer
    x = 165,207.51

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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.