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Finding the Fourth Proportional to 143,050.34, 197,363.85 and 82,613

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Solution

The fourth proportional to 143,050.34, 197,363.85 and 82,613 is: 113,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,050.34 : 197,363.85 = 82,613 : x
  2. Step 2: Convert to fraction form
    143,050.34/197,363.85 = 82,613/x
  3. Step 3: Cross multiply
    143,050.34x = 197,363.85 × 82,613
  4. Step 4: Simplify right side
    143,050.34x = 16,304,819,740.05
  5. Step 5: Solve for x
    x = 16,304,819,740.05/143,050.34
  6. Step 6: Final answer
    x = 113,979.59

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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.