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Finding the Fourth Proportional to 205,951.82, 284,198.19 and 119,911.48

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Solution

The fourth proportional to 205,951.82, 284,198.19 and 119,911.48 is: 165,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,951.82 : 284,198.19 = 119,911.48 : x
  2. Step 2: Convert to fraction form
    205,951.82/284,198.19 = 119,911.48/x
  3. Step 3: Cross multiply
    205,951.82x = 284,198.19 × 119,911.48
  4. Step 4: Simplify right side
    205,951.82x = 34,078,626,227.12
  5. Step 5: Solve for x
    x = 34,078,626,227.12/205,951.82
  6. Step 6: Final answer
    x = 165,468.92

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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.