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Finding the Fourth Proportional to 269,212.80, 403,786.80 and 111,424.80

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Solution

The fourth proportional to 269,212.80, 403,786.80 and 111,424.80 is: 167,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,212.80 : 403,786.80 = 111,424.80 : x
  2. Step 2: Convert to fraction form
    269,212.80/403,786.80 = 111,424.80/x
  3. Step 3: Cross multiply
    269,212.80x = 403,786.80 × 111,424.80
  4. Step 4: Simplify right side
    269,212.80x = 44,991,863,432.64
  5. Step 5: Solve for x
    x = 44,991,863,432.64/269,212.80
  6. Step 6: Final answer
    x = 167,123.79

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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.