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Finding the Fourth Proportional to 195,920, 270,371.76 and 106,496

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Solution

The fourth proportional to 195,920, 270,371.76 and 106,496 is: 146,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,920 : 270,371.76 = 106,496 : x
  2. Step 2: Convert to fraction form
    195,920/270,371.76 = 106,496/x
  3. Step 3: Cross multiply
    195,920x = 270,371.76 × 106,496
  4. Step 4: Simplify right side
    195,920x = 28,793,510,952.96
  5. Step 5: Solve for x
    x = 28,793,510,952.96/195,920
  6. Step 6: Final answer
    x = 146,965.65

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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.