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Finding the Fourth Proportional to 143,299.48, 197,757.30 and 82,864.30

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Solution

The fourth proportional to 143,299.48, 197,757.30 and 82,864.30 is: 114,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,299.48 : 197,757.30 = 82,864.30 : x
  2. Step 2: Convert to fraction form
    143,299.48/197,757.30 = 82,864.30/x
  3. Step 3: Cross multiply
    143,299.48x = 197,757.30 × 82,864.30
  4. Step 4: Simplify right side
    143,299.48x = 16,387,020,234.39
  5. Step 5: Solve for x
    x = 16,387,020,234.39/143,299.48
  6. Step 6: Final answer
    x = 114,355.06

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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.