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Finding the Fourth Proportional to 264,522.33, 396,781.34 and 106,748.37

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Solution

The fourth proportional to 264,522.33, 396,781.34 and 106,748.37 is: 160,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,522.33 : 396,781.34 = 106,748.37 : x
  2. Step 2: Convert to fraction form
    264,522.33/396,781.34 = 106,748.37/x
  3. Step 3: Cross multiply
    264,522.33x = 396,781.34 × 106,748.37
  4. Step 4: Simplify right side
    264,522.33x = 42,355,760,757.67
  5. Step 5: Solve for x
    x = 42,355,760,757.67/264,522.33
  6. Step 6: Final answer
    x = 160,121.68

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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.