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Finding the Fourth Proportional to 138,843.33, 208,265.68 and 33,662.30

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Solution

The fourth proportional to 138,843.33, 208,265.68 and 33,662.30 is: 50,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,843.33 : 208,265.68 = 33,662.30 : x
  2. Step 2: Convert to fraction form
    138,843.33/208,265.68 = 33,662.30/x
  3. Step 3: Cross multiply
    138,843.33x = 208,265.68 × 33,662.30
  4. Step 4: Simplify right side
    138,843.33x = 7,010,701,799.86
  5. Step 5: Solve for x
    x = 7,010,701,799.86/138,843.33
  6. Step 6: Final answer
    x = 50,493.62

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