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Finding the Fourth Proportional to 196,816, 271,604.64 and 111,932.96

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Solution

The fourth proportional to 196,816, 271,604.64 and 111,932.96 is: 154,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,816 : 271,604.64 = 111,932.96 : x
  2. Step 2: Convert to fraction form
    196,816/271,604.64 = 111,932.96/x
  3. Step 3: Cross multiply
    196,816x = 271,604.64 × 111,932.96
  4. Step 4: Simplify right side
    196,816x = 30,401,511,304.93
  5. Step 5: Solve for x
    x = 30,401,511,304.93/196,816
  6. Step 6: Final answer
    x = 154,466.67

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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.