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Finding the Fourth Proportional to 197,082.28, 271,969.38 and 112,198.12

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Solution

The fourth proportional to 197,082.28, 271,969.38 and 112,198.12 is: 154,831.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082.28 : 271,969.38 = 112,198.12 : x
  2. Step 2: Convert to fraction form
    197,082.28/271,969.38 = 112,198.12/x
  3. Step 3: Cross multiply
    197,082.28x = 271,969.38 × 112,198.12
  4. Step 4: Simplify right side
    197,082.28x = 30,514,453,133.57
  5. Step 5: Solve for x
    x = 30,514,453,133.57/197,082.28
  6. Step 6: Final answer
    x = 154,831.03

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