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Finding the Fourth Proportional to 196,997.53, 271,866.78 and 120,492.64

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Solution

The fourth proportional to 196,997.53, 271,866.78 and 120,492.64 is: 166,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,997.53 : 271,866.78 = 120,492.64 : x
  2. Step 2: Convert to fraction form
    196,997.53/271,866.78 = 120,492.64/x
  3. Step 3: Cross multiply
    196,997.53x = 271,866.78 × 120,492.64
  4. Step 4: Simplify right side
    196,997.53x = 32,757,946,050.50
  5. Step 5: Solve for x
    x = 32,757,946,050.50/196,997.53
  6. Step 6: Final answer
    x = 166,286.08

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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.