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Finding the Fourth Proportional to 192,593.46, 288,926.37 and 87,419.82

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Solution

The fourth proportional to 192,593.46, 288,926.37 and 87,419.82 is: 131,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,593.46 : 288,926.37 = 87,419.82 : x
  2. Step 2: Convert to fraction form
    192,593.46/288,926.37 = 87,419.82/x
  3. Step 3: Cross multiply
    192,593.46x = 288,926.37 × 87,419.82
  4. Step 4: Simplify right side
    192,593.46x = 25,257,891,258.65
  5. Step 5: Solve for x
    x = 25,257,891,258.65/192,593.46
  6. Step 6: Final answer
    x = 131,146.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.