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Finding the Fourth Proportional to 264,163.30, 396,231.03 and 86,646.94

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Solution

The fourth proportional to 264,163.30, 396,231.03 and 86,646.94 is: 129,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,163.30 : 396,231.03 = 86,646.94 : x
  2. Step 2: Convert to fraction form
    264,163.30/396,231.03 = 86,646.94/x
  3. Step 3: Cross multiply
    264,163.30x = 396,231.03 × 86,646.94
  4. Step 4: Simplify right side
    264,163.30x = 34,332,206,282.55
  5. Step 5: Solve for x
    x = 34,332,206,282.55/264,163.30
  6. Step 6: Final answer
    x = 129,965.84

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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.