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Finding the Fourth Proportional to 195,536, 269,839.68 and 106,112

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Solution

The fourth proportional to 195,536, 269,839.68 and 106,112 is: 146,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,536 : 269,839.68 = 106,112 : x
  2. Step 2: Convert to fraction form
    195,536/269,839.68 = 106,112/x
  3. Step 3: Cross multiply
    195,536x = 269,839.68 × 106,112
  4. Step 4: Simplify right side
    195,536x = 28,633,228,124.16
  5. Step 5: Solve for x
    x = 28,633,228,124.16/195,536
  6. Step 6: Final answer
    x = 146,434.56

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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.