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Finding the Fourth Proportional to 138,703.31, 208,055 and 33,522.27

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Solution

The fourth proportional to 138,703.31, 208,055 and 33,522.27 is: 50,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,703.31 : 208,055 = 33,522.27 : x
  2. Step 2: Convert to fraction form
    138,703.31/208,055 = 33,522.27/x
  3. Step 3: Cross multiply
    138,703.31x = 208,055 × 33,522.27
  4. Step 4: Simplify right side
    138,703.31x = 6,974,475,884.85
  5. Step 5: Solve for x
    x = 6,974,475,884.85/138,703.31
  6. Step 6: Final answer
    x = 50,283.41

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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.