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Finding the Fourth Proportional to 166,812, 230,202.18 and 99,744

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Solution

The fourth proportional to 166,812, 230,202.18 and 99,744 is: 137,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,812 : 230,202.18 = 99,744 : x
  2. Step 2: Convert to fraction form
    166,812/230,202.18 = 99,744/x
  3. Step 3: Cross multiply
    166,812x = 230,202.18 × 99,744
  4. Step 4: Simplify right side
    166,812x = 22,961,286,241.92
  5. Step 5: Solve for x
    x = 22,961,286,241.92/166,812
  6. Step 6: Final answer
    x = 137,647.69

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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.