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Finding the Fourth Proportional to 227,640.80, 341,515.12 and 77,882.72

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Solution

The fourth proportional to 227,640.80, 341,515.12 and 77,882.72 is: 116,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,640.80 : 341,515.12 = 77,882.72 : x
  2. Step 2: Convert to fraction form
    227,640.80/341,515.12 = 77,882.72/x
  3. Step 3: Cross multiply
    227,640.80x = 341,515.12 × 77,882.72
  4. Step 4: Simplify right side
    227,640.80x = 26,598,126,466.73
  5. Step 5: Solve for x
    x = 26,598,126,466.73/227,640.80
  6. Step 6: Final answer
    x = 116,842.53

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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.