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Finding the Fourth Proportional to 263,010.88, 394,519.20 and 76,024

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Solution

The fourth proportional to 263,010.88, 394,519.20 and 76,024 is: 114,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,010.88 : 394,519.20 = 76,024 : x
  2. Step 2: Convert to fraction form
    263,010.88/394,519.20 = 76,024/x
  3. Step 3: Cross multiply
    263,010.88x = 394,519.20 × 76,024
  4. Step 4: Simplify right side
    263,010.88x = 29,992,927,660.80
  5. Step 5: Solve for x
    x = 29,992,927,660.80/263,010.88
  6. Step 6: Final answer
    x = 114,036.83

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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.