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Finding the Fourth Proportional to 331,874.86, 497,815.18 and 107,235.34

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Solution

The fourth proportional to 331,874.86, 497,815.18 and 107,235.34 is: 160,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,874.86 : 497,815.18 = 107,235.34 : x
  2. Step 2: Convert to fraction form
    331,874.86/497,815.18 = 107,235.34/x
  3. Step 3: Cross multiply
    331,874.86x = 497,815.18 × 107,235.34
  4. Step 4: Simplify right side
    331,874.86x = 53,383,380,084.46
  5. Step 5: Solve for x
    x = 53,383,380,084.46/331,874.86
  6. Step 6: Final answer
    x = 160,853.94

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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.