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Finding the Fourth Proportional to 228,993.44, 343,207.60 and 166,029.72

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Solution

The fourth proportional to 228,993.44, 343,207.60 and 166,029.72 is: 248,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,993.44 : 343,207.60 = 166,029.72 : x
  2. Step 2: Convert to fraction form
    228,993.44/343,207.60 = 166,029.72/x
  3. Step 3: Cross multiply
    228,993.44x = 343,207.60 × 166,029.72
  4. Step 4: Simplify right side
    228,993.44x = 56,982,661,729.87
  5. Step 5: Solve for x
    x = 56,982,661,729.87/228,993.44
  6. Step 6: Final answer
    x = 248,839.71

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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.