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Finding the Fourth Proportional to 271,682.30, 407,523.45 and 72,002.30

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Solution

The fourth proportional to 271,682.30, 407,523.45 and 72,002.30 is: 108,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,682.30 : 407,523.45 = 72,002.30 : x
  2. Step 2: Convert to fraction form
    271,682.30/407,523.45 = 72,002.30/x
  3. Step 3: Cross multiply
    271,682.30x = 407,523.45 × 72,002.30
  4. Step 4: Simplify right side
    271,682.30x = 29,342,625,703.94
  5. Step 5: Solve for x
    x = 29,342,625,703.94/271,682.30
  6. Step 6: Final answer
    x = 108,003.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.