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Finding the Fourth Proportional to 138,828.24, 208,240.56 and 33,648.12

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Solution

The fourth proportional to 138,828.24, 208,240.56 and 33,648.12 is: 50,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,828.24 : 208,240.56 = 33,648.12 : x
  2. Step 2: Convert to fraction form
    138,828.24/208,240.56 = 33,648.12/x
  3. Step 3: Cross multiply
    138,828.24x = 208,240.56 × 33,648.12
  4. Step 4: Simplify right side
    138,828.24x = 7,006,903,351.75
  5. Step 5: Solve for x
    x = 7,006,903,351.75/138,828.24
  6. Step 6: Final answer
    x = 50,471.74

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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.