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Finding the Fourth Proportional to 327,367.42, 491,071.90 and 102,736.72

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Solution

The fourth proportional to 327,367.42, 491,071.90 and 102,736.72 is: 154,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,367.42 : 491,071.90 = 102,736.72 : x
  2. Step 2: Convert to fraction form
    327,367.42/491,071.90 = 102,736.72/x
  3. Step 3: Cross multiply
    327,367.42x = 491,071.90 × 102,736.72
  4. Step 4: Simplify right side
    327,367.42x = 50,451,116,290.17
  5. Step 5: Solve for x
    x = 50,451,116,290.17/327,367.42
  6. Step 6: Final answer
    x = 154,111.60

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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.