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Finding the Fourth Proportional to 228,815.10, 343,255.05 and 71,027.10

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Solution

The fourth proportional to 228,815.10, 343,255.05 and 71,027.10 is: 106,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,815.10 : 343,255.05 = 71,027.10 : x
  2. Step 2: Convert to fraction form
    228,815.10/343,255.05 = 71,027.10/x
  3. Step 3: Cross multiply
    228,815.10x = 343,255.05 × 71,027.10
  4. Step 4: Simplify right side
    228,815.10x = 24,380,410,761.86
  5. Step 5: Solve for x
    x = 24,380,410,761.86/228,815.10
  6. Step 6: Final answer
    x = 106,550.71

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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.