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Finding the Fourth Proportional to 271,165.12, 374,225.87 and 150,311.50

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Solution

The fourth proportional to 271,165.12, 374,225.87 and 150,311.50 is: 207,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,165.12 : 374,225.87 = 150,311.50 : x
  2. Step 2: Convert to fraction form
    271,165.12/374,225.87 = 150,311.50/x
  3. Step 3: Cross multiply
    271,165.12x = 374,225.87 × 150,311.50
  4. Step 4: Simplify right side
    271,165.12x = 56,250,449,987.38
  5. Step 5: Solve for x
    x = 56,250,449,987.38/271,165.12
  6. Step 6: Final answer
    x = 207,439.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.