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Finding the Fourth Proportional to 264,027.87, 396,054.10 and 77,039.37

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Solution

The fourth proportional to 264,027.87, 396,054.10 and 77,039.37 is: 115,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,027.87 : 396,054.10 = 77,039.37 : x
  2. Step 2: Convert to fraction form
    264,027.87/396,054.10 = 77,039.37/x
  3. Step 3: Cross multiply
    264,027.87x = 396,054.10 × 77,039.37
  4. Step 4: Simplify right side
    264,027.87x = 30,511,756,369.65
  5. Step 5: Solve for x
    x = 30,511,756,369.65/264,027.87
  6. Step 6: Final answer
    x = 115,562.64

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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.