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Finding the Fourth Proportional to 195,800, 270,204 and 106,376

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Solution

The fourth proportional to 195,800, 270,204 and 106,376 is: 146,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,800 : 270,204 = 106,376 : x
  2. Step 2: Convert to fraction form
    195,800/270,204 = 106,376/x
  3. Step 3: Cross multiply
    195,800x = 270,204 × 106,376
  4. Step 4: Simplify right side
    195,800x = 28,743,220,704
  5. Step 5: Solve for x
    x = 28,743,220,704/195,800
  6. Step 6: Final answer
    x = 146,798.88

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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.