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Finding the Fourth Proportional to 271,771.86, 407,679.15 and 72,092.28

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Solution

The fourth proportional to 271,771.86, 407,679.15 and 72,092.28 is: 108,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,771.86 : 407,679.15 = 72,092.28 : x
  2. Step 2: Convert to fraction form
    271,771.86/407,679.15 = 72,092.28/x
  3. Step 3: Cross multiply
    271,771.86x = 407,679.15 × 72,092.28
  4. Step 4: Simplify right side
    271,771.86x = 29,390,519,431.96
  5. Step 5: Solve for x
    x = 29,390,519,431.96/271,771.86
  6. Step 6: Final answer
    x = 108,144.09

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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.