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Finding the Fourth Proportional to 331,463.20, 497,194.80 and 82,145.20

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Solution

The fourth proportional to 331,463.20, 497,194.80 and 82,145.20 is: 123,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,463.20 : 497,194.80 = 82,145.20 : x
  2. Step 2: Convert to fraction form
    331,463.20/497,194.80 = 82,145.20/x
  3. Step 3: Cross multiply
    331,463.20x = 497,194.80 × 82,145.20
  4. Step 4: Simplify right side
    331,463.20x = 40,842,166,284.96
  5. Step 5: Solve for x
    x = 40,842,166,284.96/331,463.20
  6. Step 6: Final answer
    x = 123,217.80

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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.