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Finding the Fourth Proportional to 204,532.52, 282,331.92 and 119,676.92

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Solution

The fourth proportional to 204,532.52, 282,331.92 and 119,676.92 is: 165,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,532.52 : 282,331.92 = 119,676.92 : x
  2. Step 2: Convert to fraction form
    204,532.52/282,331.92 = 119,676.92/x
  3. Step 3: Cross multiply
    204,532.52x = 282,331.92 × 119,676.92
  4. Step 4: Simplify right side
    204,532.52x = 33,788,614,603.29
  5. Step 5: Solve for x
    x = 33,788,614,603.29/204,532.52
  6. Step 6: Final answer
    x = 165,199.23

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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.