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Finding the Fourth Proportional to 271,614.68, 407,821.97 and 151,906.17

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Solution

The fourth proportional to 271,614.68, 407,821.97 and 151,906.17 is: 228,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,614.68 : 407,821.97 = 151,906.17 : x
  2. Step 2: Convert to fraction form
    271,614.68/407,821.97 = 151,906.17/x
  3. Step 3: Cross multiply
    271,614.68x = 407,821.97 × 151,906.17
  4. Step 4: Simplify right side
    271,614.68x = 61,950,673,504.55
  5. Step 5: Solve for x
    x = 61,950,673,504.55/271,614.68
  6. Step 6: Final answer
    x = 228,082.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.