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Finding the Fourth Proportional to 110,198.21, 165,299.13 and 47,868.71

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Solution

The fourth proportional to 110,198.21, 165,299.13 and 47,868.71 is: 71,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,198.21 : 165,299.13 = 47,868.71 : x
  2. Step 2: Convert to fraction form
    110,198.21/165,299.13 = 47,868.71/x
  3. Step 3: Cross multiply
    110,198.21x = 165,299.13 × 47,868.71
  4. Step 4: Simplify right side
    110,198.21x = 7,912,655,290.73
  5. Step 5: Solve for x
    x = 7,912,655,290.73/110,198.21
  6. Step 6: Final answer
    x = 71,803.85

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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.