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Finding the Fourth Proportional to 143,698.66, 198,286.18 and 83,268.20

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Solution

The fourth proportional to 143,698.66, 198,286.18 and 83,268.20 is: 114,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,698.66 : 198,286.18 = 83,268.20 : x
  2. Step 2: Convert to fraction form
    143,698.66/198,286.18 = 83,268.20/x
  3. Step 3: Cross multiply
    143,698.66x = 198,286.18 × 83,268.20
  4. Step 4: Simplify right side
    143,698.66x = 16,510,933,581.02
  5. Step 5: Solve for x
    x = 16,510,933,581.02/143,698.66
  6. Step 6: Final answer
    x = 114,899.71

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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.