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Finding the Fourth Proportional to 143,048.34, 197,361.09 and 82,611

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Solution

The fourth proportional to 143,048.34, 197,361.09 and 82,611 is: 113,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,048.34 : 197,361.09 = 82,611 : x
  2. Step 2: Convert to fraction form
    143,048.34/197,361.09 = 82,611/x
  3. Step 3: Cross multiply
    143,048.34x = 197,361.09 × 82,611
  4. Step 4: Simplify right side
    143,048.34x = 16,304,197,005.99
  5. Step 5: Solve for x
    x = 16,304,197,005.99/143,048.34
  6. Step 6: Final answer
    x = 113,976.83

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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.