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Finding the Fourth Proportional to 138,830.27, 208,243.56 and 33,650.15

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Solution

The fourth proportional to 138,830.27, 208,243.56 and 33,650.15 is: 50,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.27 : 208,243.56 = 33,650.15 : x
  2. Step 2: Convert to fraction form
    138,830.27/208,243.56 = 33,650.15/x
  3. Step 3: Cross multiply
    138,830.27x = 208,243.56 × 33,650.15
  4. Step 4: Simplify right side
    138,830.27x = 7,007,427,030.53
  5. Step 5: Solve for x
    x = 7,007,427,030.53/138,830.27
  6. Step 6: Final answer
    x = 50,474.78

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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.