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Finding the Fourth Proportional to 264,016.37, 396,036.85 and 77,027.87

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Solution

The fourth proportional to 264,016.37, 396,036.85 and 77,027.87 is: 115,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,016.37 : 396,036.85 = 77,027.87 : x
  2. Step 2: Convert to fraction form
    264,016.37/396,036.85 = 77,027.87/x
  3. Step 3: Cross multiply
    264,016.37x = 396,036.85 × 77,027.87
  4. Step 4: Simplify right side
    264,016.37x = 30,505,873,016.83
  5. Step 5: Solve for x
    x = 30,505,873,016.83/264,016.37
  6. Step 6: Final answer
    x = 115,545.39

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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.