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Finding the Fourth Proportional to 271,908.72, 407,921.34 and 114,046.20

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Solution

The fourth proportional to 271,908.72, 407,921.34 and 114,046.20 is: 171,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,908.72 : 407,921.34 = 114,046.20 : x
  2. Step 2: Convert to fraction form
    271,908.72/407,921.34 = 114,046.20/x
  3. Step 3: Cross multiply
    271,908.72x = 407,921.34 × 114,046.20
  4. Step 4: Simplify right side
    271,908.72x = 46,521,878,725.91
  5. Step 5: Solve for x
    x = 46,521,878,725.91/271,908.72
  6. Step 6: Final answer
    x = 171,093.74

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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.