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Finding the Fourth Proportional to 262,082.85, 360,781.81 and 193,971.47

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Solution

The fourth proportional to 262,082.85, 360,781.81 and 193,971.47 is: 267,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,082.85 : 360,781.81 = 193,971.47 : x
  2. Step 2: Convert to fraction form
    262,082.85/360,781.81 = 193,971.47/x
  3. Step 3: Cross multiply
    262,082.85x = 360,781.81 × 193,971.47
  4. Step 4: Simplify right side
    262,082.85x = 69,981,378,034.96
  5. Step 5: Solve for x
    x = 69,981,378,034.96/262,082.85
  6. Step 6: Final answer
    x = 267,020.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.