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Finding the Fourth Proportional to 195,828, 270,244.29 and 106,404

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Solution

The fourth proportional to 195,828, 270,244.29 and 106,404 is: 146,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,828 : 270,244.29 = 106,404 : x
  2. Step 2: Convert to fraction form
    195,828/270,244.29 = 106,404/x
  3. Step 3: Cross multiply
    195,828x = 270,244.29 × 106,404
  4. Step 4: Simplify right side
    195,828x = 28,755,073,433.16
  5. Step 5: Solve for x
    x = 28,755,073,433.16/195,828
  6. Step 6: Final answer
    x = 146,838.42

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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.