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Finding the Fourth Proportional to 135,138.62, 186,496.56 and 89,738.33

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Solution

The fourth proportional to 135,138.62, 186,496.56 and 89,738.33 is: 123,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138.62 : 186,496.56 = 89,738.33 : x
  2. Step 2: Convert to fraction form
    135,138.62/186,496.56 = 89,738.33/x
  3. Step 3: Cross multiply
    135,138.62x = 186,496.56 × 89,738.33
  4. Step 4: Simplify right side
    135,138.62x = 16,735,888,912.66
  5. Step 5: Solve for x
    x = 16,735,888,912.66/135,138.62
  6. Step 6: Final answer
    x = 123,842.38

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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.