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Finding the Fourth Proportional to 217,922.58, 300,626.37 and 137,311.38

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Solution

The fourth proportional to 217,922.58, 300,626.37 and 137,311.38 is: 189,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,922.58 : 300,626.37 = 137,311.38 : x
  2. Step 2: Convert to fraction form
    217,922.58/300,626.37 = 137,311.38/x
  3. Step 3: Cross multiply
    217,922.58x = 300,626.37 × 137,311.38
  4. Step 4: Simplify right side
    217,922.58x = 41,279,421,729.09
  5. Step 5: Solve for x
    x = 41,279,421,729.09/217,922.58
  6. Step 6: Final answer
    x = 189,422.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.