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Finding the Fourth Proportional to 138,911.38, 208,367.07 and 33,729.64

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Solution

The fourth proportional to 138,911.38, 208,367.07 and 33,729.64 is: 50,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.38 : 208,367.07 = 33,729.64 : x
  2. Step 2: Convert to fraction form
    138,911.38/208,367.07 = 33,729.64/x
  3. Step 3: Cross multiply
    138,911.38x = 208,367.07 × 33,729.64
  4. Step 4: Simplify right side
    138,911.38x = 7,028,146,258.95
  5. Step 5: Solve for x
    x = 7,028,146,258.95/138,911.38
  6. Step 6: Final answer
    x = 50,594.46

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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.