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Finding the Fourth Proportional to 195,891, 270,329.58 and 106,467

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Solution

The fourth proportional to 195,891, 270,329.58 and 106,467 is: 146,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,891 : 270,329.58 = 106,467 : x
  2. Step 2: Convert to fraction form
    195,891/270,329.58 = 106,467/x
  3. Step 3: Cross multiply
    195,891x = 270,329.58 × 106,467
  4. Step 4: Simplify right side
    195,891x = 28,781,179,393.86
  5. Step 5: Solve for x
    x = 28,781,179,393.86/195,891
  6. Step 6: Final answer
    x = 146,924.46

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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.