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Finding the Fourth Proportional to 262,769.04, 394,150.68 and 75,774.48

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Solution

The fourth proportional to 262,769.04, 394,150.68 and 75,774.48 is: 113,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,769.04 : 394,150.68 = 75,774.48 : x
  2. Step 2: Convert to fraction form
    262,769.04/394,150.68 = 75,774.48/x
  3. Step 3: Cross multiply
    262,769.04x = 394,150.68 × 75,774.48
  4. Step 4: Simplify right side
    262,769.04x = 29,866,562,818.65
  5. Step 5: Solve for x
    x = 29,866,562,818.65/262,769.04
  6. Step 6: Final answer
    x = 113,660.89

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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.