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Finding the Fourth Proportional to 271,845.42, 407,768.13 and 84,872.94

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Solution

The fourth proportional to 271,845.42, 407,768.13 and 84,872.94 is: 127,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,845.42 : 407,768.13 = 84,872.94 : x
  2. Step 2: Convert to fraction form
    271,845.42/407,768.13 = 84,872.94/x
  3. Step 3: Cross multiply
    271,845.42x = 407,768.13 × 84,872.94
  4. Step 4: Simplify right side
    271,845.42x = 34,608,480,031.40
  5. Step 5: Solve for x
    x = 34,608,480,031.40/271,845.42
  6. Step 6: Final answer
    x = 127,309.41

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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.