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Finding the Fourth Proportional to 195,828, 270,243.36 and 106,404

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Solution

The fourth proportional to 195,828, 270,243.36 and 106,404 is: 146,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,828 : 270,243.36 = 106,404 : x
  2. Step 2: Convert to fraction form
    195,828/270,243.36 = 106,404/x
  3. Step 3: Cross multiply
    195,828x = 270,243.36 × 106,404
  4. Step 4: Simplify right side
    195,828x = 28,754,974,477.44
  5. Step 5: Solve for x
    x = 28,754,974,477.44/195,828
  6. Step 6: Final answer
    x = 146,837.91

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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.