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Finding the Fourth Proportional to 274,090.70, 410,876.85 and 161,857.10

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Solution

The fourth proportional to 274,090.70, 410,876.85 and 161,857.10 is: 242,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,090.70 : 410,876.85 = 161,857.10 : x
  2. Step 2: Convert to fraction form
    274,090.70/410,876.85 = 161,857.10/x
  3. Step 3: Cross multiply
    274,090.70x = 410,876.85 × 161,857.10
  4. Step 4: Simplify right side
    274,090.70x = 66,503,335,398.14
  5. Step 5: Solve for x
    x = 66,503,335,398.14/274,090.70
  6. Step 6: Final answer
    x = 242,632.59

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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.