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Finding the Fourth Proportional to 264,115.89, 396,169.92 and 106,340.31

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Solution

The fourth proportional to 264,115.89, 396,169.92 and 106,340.31 is: 159,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,115.89 : 396,169.92 = 106,340.31 : x
  2. Step 2: Convert to fraction form
    264,115.89/396,169.92 = 106,340.31/x
  3. Step 3: Cross multiply
    264,115.89x = 396,169.92 × 106,340.31
  4. Step 4: Simplify right side
    264,115.89x = 42,128,832,105.48
  5. Step 5: Solve for x
    x = 42,128,832,105.48/264,115.89
  6. Step 6: Final answer
    x = 159,508.89

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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.