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Finding the Fourth Proportional to 196,997.87, 271,863.54 and 110,958.46

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Solution

The fourth proportional to 196,997.87, 271,863.54 and 110,958.46 is: 153,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,997.87 : 271,863.54 = 110,958.46 : x
  2. Step 2: Convert to fraction form
    196,997.87/271,863.54 = 110,958.46/x
  3. Step 3: Cross multiply
    196,997.87x = 271,863.54 × 110,958.46
  4. Step 4: Simplify right side
    196,997.87x = 30,165,559,048.89
  5. Step 5: Solve for x
    x = 30,165,559,048.89/196,997.87
  6. Step 6: Final answer
    x = 153,126.32

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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.