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Finding the Fourth Proportional to 275,586.42, 413,218.74 and 106,909.65

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Solution

The fourth proportional to 275,586.42, 413,218.74 and 106,909.65 is: 160,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,586.42 : 413,218.74 = 106,909.65 : x
  2. Step 2: Convert to fraction form
    275,586.42/413,218.74 = 106,909.65/x
  3. Step 3: Cross multiply
    275,586.42x = 413,218.74 × 106,909.65
  4. Step 4: Simplify right side
    275,586.42x = 44,177,070,866.84
  5. Step 5: Solve for x
    x = 44,177,070,866.84/275,586.42
  6. Step 6: Final answer
    x = 160,302.06

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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.