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Finding the Fourth Proportional to 138,796.44, 208,195.20 and 33,615.52

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Solution

The fourth proportional to 138,796.44, 208,195.20 and 33,615.52 is: 50,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,796.44 : 208,195.20 = 33,615.52 : x
  2. Step 2: Convert to fraction form
    138,796.44/208,195.20 = 33,615.52/x
  3. Step 3: Cross multiply
    138,796.44x = 208,195.20 × 33,615.52
  4. Step 4: Simplify right side
    138,796.44x = 6,998,589,909.50
  5. Step 5: Solve for x
    x = 6,998,589,909.50/138,796.44
  6. Step 6: Final answer
    x = 50,423.41

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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.