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Finding the Fourth Proportional to 167,198.42, 250,794.38 and 40,839.50

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Solution

The fourth proportional to 167,198.42, 250,794.38 and 40,839.50 is: 61,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198.42 : 250,794.38 = 40,839.50 : x
  2. Step 2: Convert to fraction form
    167,198.42/250,794.38 = 40,839.50/x
  3. Step 3: Cross multiply
    167,198.42x = 250,794.38 × 40,839.50
  4. Step 4: Simplify right side
    167,198.42x = 10,242,317,082.01
  5. Step 5: Solve for x
    x = 10,242,317,082.01/167,198.42
  6. Step 6: Final answer
    x = 61,258.46

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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.