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Finding the Fourth Proportional to 138,910.38, 208,365.57 and 33,728.64

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Solution

The fourth proportional to 138,910.38, 208,365.57 and 33,728.64 is: 50,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,910.38 : 208,365.57 = 33,728.64 : x
  2. Step 2: Convert to fraction form
    138,910.38/208,365.57 = 33,728.64/x
  3. Step 3: Cross multiply
    138,910.38x = 208,365.57 × 33,728.64
  4. Step 4: Simplify right side
    138,910.38x = 7,027,887,298.92
  5. Step 5: Solve for x
    x = 7,027,887,298.92/138,910.38
  6. Step 6: Final answer
    x = 50,592.96

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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.