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Finding the Fourth Proportional to 271,981.86, 408,016.53 and 114,255.42

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Solution

The fourth proportional to 271,981.86, 408,016.53 and 114,255.42 is: 171,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,981.86 : 408,016.53 = 114,255.42 : x
  2. Step 2: Convert to fraction form
    271,981.86/408,016.53 = 114,255.42/x
  3. Step 3: Cross multiply
    271,981.86x = 408,016.53 × 114,255.42
  4. Step 4: Simplify right side
    271,981.86x = 46,618,100,002.09
  5. Step 5: Solve for x
    x = 46,618,100,002.09/271,981.86
  6. Step 6: Final answer
    x = 171,401.50

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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.