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Finding the Fourth Proportional to 331,818.75, 497,730.02 and 82,500.75

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Solution

The fourth proportional to 331,818.75, 497,730.02 and 82,500.75 is: 123,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,818.75 : 497,730.02 = 82,500.75 : x
  2. Step 2: Convert to fraction form
    331,818.75/497,730.02 = 82,500.75/x
  3. Step 3: Cross multiply
    331,818.75x = 497,730.02 × 82,500.75
  4. Step 4: Simplify right side
    331,818.75x = 41,063,099,535.01
  5. Step 5: Solve for x
    x = 41,063,099,535.01/331,818.75
  6. Step 6: Final answer
    x = 123,751.59

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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.