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Finding the Fourth Proportional to 143,032.35, 197,389.17 and 82,601.90

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Solution

The fourth proportional to 143,032.35, 197,389.17 and 82,601.90 is: 113,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,032.35 : 197,389.17 = 82,601.90 : x
  2. Step 2: Convert to fraction form
    143,032.35/197,389.17 = 82,601.90/x
  3. Step 3: Cross multiply
    143,032.35x = 197,389.17 × 82,601.90
  4. Step 4: Simplify right side
    143,032.35x = 16,304,720,481.42
  5. Step 5: Solve for x
    x = 16,304,720,481.42/143,032.35
  6. Step 6: Final answer
    x = 113,993.24

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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.