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Finding the Fourth Proportional to 365,168.20, 547,958.60 and 196,684.96

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Solution

The fourth proportional to 365,168.20, 547,958.60 and 196,684.96 is: 295,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,168.20 : 547,958.60 = 196,684.96 : x
  2. Step 2: Convert to fraction form
    365,168.20/547,958.60 = 196,684.96/x
  3. Step 3: Cross multiply
    365,168.20x = 547,958.60 × 196,684.96
  4. Step 4: Simplify right side
    365,168.20x = 107,775,215,322.66
  5. Step 5: Solve for x
    x = 107,775,215,322.66/365,168.20
  6. Step 6: Final answer
    x = 295,138.56

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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.