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Finding the Fourth Proportional to 195,534, 269,836.92 and 106,110

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Solution

The fourth proportional to 195,534, 269,836.92 and 106,110 is: 146,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,534 : 269,836.92 = 106,110 : x
  2. Step 2: Convert to fraction form
    195,534/269,836.92 = 106,110/x
  3. Step 3: Cross multiply
    195,534x = 269,836.92 × 106,110
  4. Step 4: Simplify right side
    195,534x = 28,632,395,581.20
  5. Step 5: Solve for x
    x = 28,632,395,581.20/195,534
  6. Step 6: Final answer
    x = 146,431.80

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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.