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Finding the Fourth Proportional to 225,634.58, 338,449.25 and 54,857.26

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Solution

The fourth proportional to 225,634.58, 338,449.25 and 54,857.26 is: 82,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,634.58 : 338,449.25 = 54,857.26 : x
  2. Step 2: Convert to fraction form
    225,634.58/338,449.25 = 54,857.26/x
  3. Step 3: Cross multiply
    225,634.58x = 338,449.25 × 54,857.26
  4. Step 4: Simplify right side
    225,634.58x = 18,566,396,811.81
  5. Step 5: Solve for x
    x = 18,566,396,811.81/225,634.58
  6. Step 6: Final answer
    x = 82,285.25

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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.