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Finding the Fourth Proportional to 171,114.10, 256,651.55 and 44,766.54

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Solution

The fourth proportional to 171,114.10, 256,651.55 and 44,766.54 is: 67,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,114.10 : 256,651.55 = 44,766.54 : x
  2. Step 2: Convert to fraction form
    171,114.10/256,651.55 = 44,766.54/x
  3. Step 3: Cross multiply
    171,114.10x = 256,651.55 × 44,766.54
  4. Step 4: Simplify right side
    171,114.10x = 11,489,401,655.30
  5. Step 5: Solve for x
    x = 11,489,401,655.30/171,114.10
  6. Step 6: Final answer
    x = 67,144.68

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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.