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Finding the Fourth Proportional to 331,405.10, 497,107.65 and 182,105.90

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Solution

The fourth proportional to 331,405.10, 497,107.65 and 182,105.90 is: 273,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,405.10 : 497,107.65 = 182,105.90 : x
  2. Step 2: Convert to fraction form
    331,405.10/497,107.65 = 182,105.90/x
  3. Step 3: Cross multiply
    331,405.10x = 497,107.65 × 182,105.90
  4. Step 4: Simplify right side
    331,405.10x = 90,526,236,000.14
  5. Step 5: Solve for x
    x = 90,526,236,000.14/331,405.10
  6. Step 6: Final answer
    x = 273,158.85

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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.