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Finding the Fourth Proportional to 271,777.86, 407,686.85 and 72,093.83

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Solution

The fourth proportional to 271,777.86, 407,686.85 and 72,093.83 is: 108,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,777.86 : 407,686.85 = 72,093.83 : x
  2. Step 2: Convert to fraction form
    271,777.86/407,686.85 = 72,093.83/x
  3. Step 3: Cross multiply
    271,777.86x = 407,686.85 × 72,093.83
  4. Step 4: Simplify right side
    271,777.86x = 29,391,704,058.23
  5. Step 5: Solve for x
    x = 29,391,704,058.23/271,777.86
  6. Step 6: Final answer
    x = 108,146.06

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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.