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Finding the Fourth Proportional to 275,587.42, 413,220.24 and 106,910.65

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Solution

The fourth proportional to 275,587.42, 413,220.24 and 106,910.65 is: 160,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,587.42 : 413,220.24 = 106,910.65 : x
  2. Step 2: Convert to fraction form
    275,587.42/413,220.24 = 106,910.65/x
  3. Step 3: Cross multiply
    275,587.42x = 413,220.24 × 106,910.65
  4. Step 4: Simplify right side
    275,587.42x = 44,177,644,451.56
  5. Step 5: Solve for x
    x = 44,177,644,451.56/275,587.42
  6. Step 6: Final answer
    x = 160,303.56

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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.