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Finding the Fourth Proportional to 138,735.18, 208,103.31 and 33,553.98

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Solution

The fourth proportional to 138,735.18, 208,103.31 and 33,553.98 is: 50,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735.18 : 208,103.31 = 33,553.98 : x
  2. Step 2: Convert to fraction form
    138,735.18/208,103.31 = 33,553.98/x
  3. Step 3: Cross multiply
    138,735.18x = 208,103.31 × 33,553.98
  4. Step 4: Simplify right side
    138,735.18x = 6,982,694,301.67
  5. Step 5: Solve for x
    x = 6,982,694,301.67/138,735.18
  6. Step 6: Final answer
    x = 50,331.10

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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.