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Finding the Fourth Proportional to 138,771.26, 208,092 and 50,013.08

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Solution

The fourth proportional to 138,771.26, 208,092 and 50,013.08 is: 74,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.26 : 208,092 = 50,013.08 : x
  2. Step 2: Convert to fraction form
    138,771.26/208,092 = 50,013.08/x
  3. Step 3: Cross multiply
    138,771.26x = 208,092 × 50,013.08
  4. Step 4: Simplify right side
    138,771.26x = 10,407,321,843.36
  5. Step 5: Solve for x
    x = 10,407,321,843.36/138,771.26
  6. Step 6: Final answer
    x = 74,996.23

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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.