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Finding the Fourth Proportional to 206,082.20, 308,831.70 and 181,004.60

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Solution

The fourth proportional to 206,082.20, 308,831.70 and 181,004.60 is: 271,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,082.20 : 308,831.70 = 181,004.60 : x
  2. Step 2: Convert to fraction form
    206,082.20/308,831.70 = 181,004.60/x
  3. Step 3: Cross multiply
    206,082.20x = 308,831.70 × 181,004.60
  4. Step 4: Simplify right side
    206,082.20x = 55,899,958,325.82
  5. Step 5: Solve for x
    x = 55,899,958,325.82/206,082.20
  6. Step 6: Final answer
    x = 271,250.78

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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.