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Finding the Fourth Proportional to 138,806.33, 191,552.49 and 75,144.11

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Solution

The fourth proportional to 138,806.33, 191,552.49 and 75,144.11 is: 103,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,806.33 : 191,552.49 = 75,144.11 : x
  2. Step 2: Convert to fraction form
    138,806.33/191,552.49 = 75,144.11/x
  3. Step 3: Cross multiply
    138,806.33x = 191,552.49 × 75,144.11
  4. Step 4: Simplify right side
    138,806.33x = 14,394,040,421.57
  5. Step 5: Solve for x
    x = 14,394,040,421.57/138,806.33
  6. Step 6: Final answer
    x = 103,698.74

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Why These Related Problems?

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