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Finding the Fourth Proportional to 327,367.37, 491,071.85 and 102,736.68

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Solution

The fourth proportional to 327,367.37, 491,071.85 and 102,736.68 is: 154,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,367.37 : 491,071.85 = 102,736.68 : x
  2. Step 2: Convert to fraction form
    327,367.37/491,071.85 = 102,736.68/x
  3. Step 3: Cross multiply
    327,367.37x = 491,071.85 × 102,736.68
  4. Step 4: Simplify right side
    327,367.37x = 50,451,090,996.77
  5. Step 5: Solve for x
    x = 50,451,090,996.77/327,367.37
  6. Step 6: Final answer
    x = 154,111.55

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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.