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Finding the Fourth Proportional to 143,035.35, 197,393.31 and 82,604.90

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Solution

The fourth proportional to 143,035.35, 197,393.31 and 82,604.90 is: 113,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,035.35 : 197,393.31 = 82,604.90 : x
  2. Step 2: Convert to fraction form
    143,035.35/197,393.31 = 82,604.90/x
  3. Step 3: Cross multiply
    143,035.35x = 197,393.31 × 82,604.90
  4. Step 4: Simplify right side
    143,035.35x = 16,305,654,633.22
  5. Step 5: Solve for x
    x = 16,305,654,633.22/143,035.35
  6. Step 6: Final answer
    x = 113,997.38

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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.