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Finding the Fourth Proportional to 143,049.34, 197,362.47 and 82,612

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Solution

The fourth proportional to 143,049.34, 197,362.47 and 82,612 is: 113,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,049.34 : 197,362.47 = 82,612 : x
  2. Step 2: Convert to fraction form
    143,049.34/197,362.47 = 82,612/x
  3. Step 3: Cross multiply
    143,049.34x = 197,362.47 × 82,612
  4. Step 4: Simplify right side
    143,049.34x = 16,304,508,371.64
  5. Step 5: Solve for x
    x = 16,304,508,371.64/143,049.34
  6. Step 6: Final answer
    x = 113,978.21

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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.