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Finding the Fourth Proportional to 204,545.52, 282,274.92 and 119,646

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Solution

The fourth proportional to 204,545.52, 282,274.92 and 119,646 is: 165,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,545.52 : 282,274.92 = 119,646 : x
  2. Step 2: Convert to fraction form
    204,545.52/282,274.92 = 119,646/x
  3. Step 3: Cross multiply
    204,545.52x = 282,274.92 × 119,646
  4. Step 4: Simplify right side
    204,545.52x = 33,773,065,078.32
  5. Step 5: Solve for x
    x = 33,773,065,078.32/204,545.52
  6. Step 6: Final answer
    x = 165,112.71

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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.