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Finding the Fourth Proportional to 227,882.70, 341,824.05 and 202,294.80

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Solution

The fourth proportional to 227,882.70, 341,824.05 and 202,294.80 is: 303,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,882.70 : 341,824.05 = 202,294.80 : x
  2. Step 2: Convert to fraction form
    227,882.70/341,824.05 = 202,294.80/x
  3. Step 3: Cross multiply
    227,882.70x = 341,824.05 × 202,294.80
  4. Step 4: Simplify right side
    227,882.70x = 69,149,227,829.94
  5. Step 5: Solve for x
    x = 69,149,227,829.94/227,882.70
  6. Step 6: Final answer
    x = 303,442.20

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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.