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Finding the Fourth Proportional to 269,202.80, 403,771.80 and 111,414.80

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Solution

The fourth proportional to 269,202.80, 403,771.80 and 111,414.80 is: 167,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,202.80 : 403,771.80 = 111,414.80 : x
  2. Step 2: Convert to fraction form
    269,202.80/403,771.80 = 111,414.80/x
  3. Step 3: Cross multiply
    269,202.80x = 403,771.80 × 111,414.80
  4. Step 4: Simplify right side
    269,202.80x = 44,986,154,342.64
  5. Step 5: Solve for x
    x = 44,986,154,342.64/269,202.80
  6. Step 6: Final answer
    x = 167,108.79

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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.