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Finding the Fourth Proportional to 196,546.98, 271,242.09 and 111,678.42

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Solution

The fourth proportional to 196,546.98, 271,242.09 and 111,678.42 is: 154,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,546.98 : 271,242.09 = 111,678.42 : x
  2. Step 2: Convert to fraction form
    196,546.98/271,242.09 = 111,678.42/x
  3. Step 3: Cross multiply
    196,546.98x = 271,242.09 × 111,678.42
  4. Step 4: Simplify right side
    196,546.98x = 30,291,888,048.70
  5. Step 5: Solve for x
    x = 30,291,888,048.70/196,546.98
  6. Step 6: Final answer
    x = 154,120.34

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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.