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Finding the Fourth Proportional to 225,635.07, 338,450 and 54,857.76

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Solution

The fourth proportional to 225,635.07, 338,450 and 54,857.76 is: 82,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,635.07 : 338,450 = 54,857.76 : x
  2. Step 2: Convert to fraction form
    225,635.07/338,450 = 54,857.76/x
  3. Step 3: Cross multiply
    225,635.07x = 338,450 × 54,857.76
  4. Step 4: Simplify right side
    225,635.07x = 18,566,608,872
  5. Step 5: Solve for x
    x = 18,566,608,872/225,635.07
  6. Step 6: Final answer
    x = 82,286.01

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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.