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Finding the Fourth Proportional to 195,449.76, 293,193.84 and 55,209.44

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Solution

The fourth proportional to 195,449.76, 293,193.84 and 55,209.44 is: 82,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,449.76 : 293,193.84 = 55,209.44 : x
  2. Step 2: Convert to fraction form
    195,449.76/293,193.84 = 55,209.44/x
  3. Step 3: Cross multiply
    195,449.76x = 293,193.84 × 55,209.44
  4. Step 4: Simplify right side
    195,449.76x = 16,187,067,717.85
  5. Step 5: Solve for x
    x = 16,187,067,717.85/195,449.76
  6. Step 6: Final answer
    x = 82,819.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.