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Finding the Fourth Proportional to 228,922.40, 343,383.60 and 71,149.60

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Solution

The fourth proportional to 228,922.40, 343,383.60 and 71,149.60 is: 106,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,922.40 : 343,383.60 = 71,149.60 : x
  2. Step 2: Convert to fraction form
    228,922.40/343,383.60 = 71,149.60/x
  3. Step 3: Cross multiply
    228,922.40x = 343,383.60 × 71,149.60
  4. Step 4: Simplify right side
    228,922.40x = 24,431,605,786.56
  5. Step 5: Solve for x
    x = 24,431,605,786.56/228,922.40
  6. Step 6: Final answer
    x = 106,724.40

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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.