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Finding the Fourth Proportional to 97,462.20, 146,193.30 and 82,255.80

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Solution

The fourth proportional to 97,462.20, 146,193.30 and 82,255.80 is: 123,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462.20 : 146,193.30 = 82,255.80 : x
  2. Step 2: Convert to fraction form
    97,462.20/146,193.30 = 82,255.80/x
  3. Step 3: Cross multiply
    97,462.20x = 146,193.30 × 82,255.80
  4. Step 4: Simplify right side
    97,462.20x = 12,025,246,846.14
  5. Step 5: Solve for x
    x = 12,025,246,846.14/97,462.20
  6. Step 6: Final answer
    x = 123,383.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.