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Finding the Fourth Proportional to 135,769.38, 187,480.77 and 84,869.10

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Solution

The fourth proportional to 135,769.38, 187,480.77 and 84,869.10 is: 117,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,769.38 : 187,480.77 = 84,869.10 : x
  2. Step 2: Convert to fraction form
    135,769.38/187,480.77 = 84,869.10/x
  3. Step 3: Cross multiply
    135,769.38x = 187,480.77 × 84,869.10
  4. Step 4: Simplify right side
    135,769.38x = 15,911,324,217.21
  5. Step 5: Solve for x
    x = 15,911,324,217.21/135,769.38
  6. Step 6: Final answer
    x = 117,193.76

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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.