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Finding the Fourth Proportional to 138,745.69, 191,469.03 and 75,083.49

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Solution

The fourth proportional to 138,745.69, 191,469.03 and 75,083.49 is: 103,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.69 : 191,469.03 = 75,083.49 : x
  2. Step 2: Convert to fraction form
    138,745.69/191,469.03 = 75,083.49/x
  3. Step 3: Cross multiply
    138,745.69x = 191,469.03 × 75,083.49
  4. Step 4: Simplify right side
    138,745.69x = 14,376,162,999.31
  5. Step 5: Solve for x
    x = 14,376,162,999.31/138,745.69
  6. Step 6: Final answer
    x = 103,615.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.