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Finding the Fourth Proportional to 138,756.60, 208,198.44 and 75,481.90

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Solution

The fourth proportional to 138,756.60, 208,198.44 and 75,481.90 is: 113,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,756.60 : 208,198.44 = 75,481.90 : x
  2. Step 2: Convert to fraction form
    138,756.60/208,198.44 = 75,481.90/x
  3. Step 3: Cross multiply
    138,756.60x = 208,198.44 × 75,481.90
  4. Step 4: Simplify right side
    138,756.60x = 15,715,213,307.74
  5. Step 5: Solve for x
    x = 15,715,213,307.74/138,756.60
  6. Step 6: Final answer
    x = 113,257.41

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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.