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Finding the Fourth Proportional to 138,877.72, 208,185.36 and 50,107.38

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Solution

The fourth proportional to 138,877.72, 208,185.36 and 50,107.38 is: 75,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877.72 : 208,185.36 = 50,107.38 : x
  2. Step 2: Convert to fraction form
    138,877.72/208,185.36 = 50,107.38/x
  3. Step 3: Cross multiply
    138,877.72x = 208,185.36 × 50,107.38
  4. Step 4: Simplify right side
    138,877.72x = 10,431,622,943.96
  5. Step 5: Solve for x
    x = 10,431,622,943.96/138,877.72
  6. Step 6: Final answer
    x = 75,113.73

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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.