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Finding the Fourth Proportional to 331,357.10, 497,118.45 and 106,738.70

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Solution

The fourth proportional to 331,357.10, 497,118.45 and 106,738.70 is: 160,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,357.10 : 497,118.45 = 106,738.70 : x
  2. Step 2: Convert to fraction form
    331,357.10/497,118.45 = 106,738.70/x
  3. Step 3: Cross multiply
    331,357.10x = 497,118.45 × 106,738.70
  4. Step 4: Simplify right side
    331,357.10x = 53,061,777,099.02
  5. Step 5: Solve for x
    x = 53,061,777,099.02/331,357.10
  6. Step 6: Final answer
    x = 160,134.72

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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.