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Finding the Fourth Proportional to 274,116.20, 410,915.10 and 161,882.60

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Solution

The fourth proportional to 274,116.20, 410,915.10 and 161,882.60 is: 242,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,116.20 : 410,915.10 = 161,882.60 : x
  2. Step 2: Convert to fraction form
    274,116.20/410,915.10 = 161,882.60/x
  3. Step 3: Cross multiply
    274,116.20x = 410,915.10 × 161,882.60
  4. Step 4: Simplify right side
    274,116.20x = 66,520,004,767.26
  5. Step 5: Solve for x
    x = 66,520,004,767.26/274,116.20
  6. Step 6: Final answer
    x = 242,670.83

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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.