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Finding the Fourth Proportional to 143,092.36, 197,450.42 and 82,650.97

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Solution

The fourth proportional to 143,092.36, 197,450.42 and 82,650.97 is: 114,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,092.36 : 197,450.42 = 82,650.97 : x
  2. Step 2: Convert to fraction form
    143,092.36/197,450.42 = 82,650.97/x
  3. Step 3: Cross multiply
    143,092.36x = 197,450.42 × 82,650.97
  4. Step 4: Simplify right side
    143,092.36x = 16,319,468,739.91
  5. Step 5: Solve for x
    x = 16,319,468,739.91/143,092.36
  6. Step 6: Final answer
    x = 114,048.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.