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Finding the Fourth Proportional to 258,786.25, 388,179.39 and 71,797.75

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Solution

The fourth proportional to 258,786.25, 388,179.39 and 71,797.75 is: 107,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,786.25 : 388,179.39 = 71,797.75 : x
  2. Step 2: Convert to fraction form
    258,786.25/388,179.39 = 71,797.75/x
  3. Step 3: Cross multiply
    258,786.25x = 388,179.39 × 71,797.75
  4. Step 4: Simplify right side
    258,786.25x = 27,870,406,798.37
  5. Step 5: Solve for x
    x = 27,870,406,798.37/258,786.25
  6. Step 6: Final answer
    x = 107,696.63

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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.