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Finding the Fourth Proportional to 271,976, 408,007.71 and 114,249.56

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Solution

The fourth proportional to 271,976, 408,007.71 and 114,249.56 is: 171,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,976 : 408,007.71 = 114,249.56 : x
  2. Step 2: Convert to fraction form
    271,976/408,007.71 = 114,249.56/x
  3. Step 3: Cross multiply
    271,976x = 408,007.71 × 114,249.56
  4. Step 4: Simplify right side
    271,976x = 46,614,701,344.11
  5. Step 5: Solve for x
    x = 46,614,701,344.11/271,976
  6. Step 6: Final answer
    x = 171,392.70

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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.