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Finding the Fourth Proportional to 217,431.32, 300,057.68 and 120,636.94

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Solution

The fourth proportional to 217,431.32, 300,057.68 and 120,636.94 is: 166,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,431.32 : 300,057.68 = 120,636.94 : x
  2. Step 2: Convert to fraction form
    217,431.32/300,057.68 = 120,636.94/x
  3. Step 3: Cross multiply
    217,431.32x = 300,057.68 × 120,636.94
  4. Step 4: Simplify right side
    217,431.32x = 36,198,040,338.70
  5. Step 5: Solve for x
    x = 36,198,040,338.70/217,431.32
  6. Step 6: Final answer
    x = 166,480.34

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