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Finding the Fourth Proportional to 227,674.46, 341,506.92 and 75,882.53

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Solution

The fourth proportional to 227,674.46, 341,506.92 and 75,882.53 is: 113,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,674.46 : 341,506.92 = 75,882.53 : x
  2. Step 2: Convert to fraction form
    227,674.46/341,506.92 = 75,882.53/x
  3. Step 3: Cross multiply
    227,674.46x = 341,506.92 × 75,882.53
  4. Step 4: Simplify right side
    227,674.46x = 25,914,408,452.87
  5. Step 5: Solve for x
    x = 25,914,408,452.87/227,674.46
  6. Step 6: Final answer
    x = 113,822.20

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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.