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Finding the Fourth Proportional to 138,745.09, 191,469.58 and 75,084.21

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Solution

The fourth proportional to 138,745.09, 191,469.58 and 75,084.21 is: 103,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.09 : 191,469.58 = 75,084.21 : x
  2. Step 2: Convert to fraction form
    138,745.09/191,469.58 = 75,084.21/x
  3. Step 3: Cross multiply
    138,745.09x = 191,469.58 × 75,084.21
  4. Step 4: Simplify right side
    138,745.09x = 14,376,341,777.91
  5. Step 5: Solve for x
    x = 14,376,341,777.91/138,745.09
  6. Step 6: Final answer
    x = 103,616.94

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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.