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Finding the Fourth Proportional to 195,561, 269,874.18 and 106,137

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Solution

The fourth proportional to 195,561, 269,874.18 and 106,137 is: 146,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,561 : 269,874.18 = 106,137 : x
  2. Step 2: Convert to fraction form
    195,561/269,874.18 = 106,137/x
  3. Step 3: Cross multiply
    195,561x = 269,874.18 × 106,137
  4. Step 4: Simplify right side
    195,561x = 28,643,635,842.66
  5. Step 5: Solve for x
    x = 28,643,635,842.66/195,561
  6. Step 6: Final answer
    x = 146,469.06

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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.