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Finding the Fourth Proportional to 331,093.80, 496,714.74 and 120,731.74

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Solution

The fourth proportional to 331,093.80, 496,714.74 and 120,731.74 is: 181,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,093.80 : 496,714.74 = 120,731.74 : x
  2. Step 2: Convert to fraction form
    331,093.80/496,714.74 = 120,731.74/x
  3. Step 3: Cross multiply
    331,093.80x = 496,714.74 × 120,731.74
  4. Step 4: Simplify right side
    331,093.80x = 59,969,234,843.85
  5. Step 5: Solve for x
    x = 59,969,234,843.85/331,093.80
  6. Step 6: Final answer
    x = 181,124.61

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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.