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Finding the Fourth Proportional to 83,198.16, 114,818.18 and 47,399.81

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Solution

The fourth proportional to 83,198.16, 114,818.18 and 47,399.81 is: 65,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.16 : 114,818.18 = 47,399.81 : x
  2. Step 2: Convert to fraction form
    83,198.16/114,818.18 = 47,399.81/x
  3. Step 3: Cross multiply
    83,198.16x = 114,818.18 × 47,399.81
  4. Step 4: Simplify right side
    83,198.16x = 5,442,359,105.46
  5. Step 5: Solve for x
    x = 5,442,359,105.46/83,198.16
  6. Step 6: Final answer
    x = 65,414.42

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