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Finding the Fourth Proportional to 274,702.86, 412,320.65 and 132,648.30

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Solution

The fourth proportional to 274,702.86, 412,320.65 and 132,648.30 is: 199,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,702.86 : 412,320.65 = 132,648.30 : x
  2. Step 2: Convert to fraction form
    274,702.86/412,320.65 = 132,648.30/x
  3. Step 3: Cross multiply
    274,702.86x = 412,320.65 × 132,648.30
  4. Step 4: Simplify right side
    274,702.86x = 54,693,632,614.15
  5. Step 5: Solve for x
    x = 54,693,632,614.15/274,702.86
  6. Step 6: Final answer
    x = 199,101.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.