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Finding the Fourth Proportional to 138,850.66, 208,232.93 and 50,092.63

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Solution

The fourth proportional to 138,850.66, 208,232.93 and 50,092.63 is: 75,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850.66 : 208,232.93 = 50,092.63 : x
  2. Step 2: Convert to fraction form
    138,850.66/208,232.93 = 50,092.63/x
  3. Step 3: Cross multiply
    138,850.66x = 208,232.93 × 50,092.63
  4. Step 4: Simplify right side
    138,850.66x = 10,430,934,439.18
  5. Step 5: Solve for x
    x = 10,430,934,439.18/138,850.66
  6. Step 6: Final answer
    x = 75,123.41

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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.