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Finding the Fourth Proportional to 194,408.66, 268,286.88 and 108,365.24

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Solution

The fourth proportional to 194,408.66, 268,286.88 and 108,365.24 is: 149,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408.66 : 268,286.88 = 108,365.24 : x
  2. Step 2: Convert to fraction form
    194,408.66/268,286.88 = 108,365.24/x
  3. Step 3: Cross multiply
    194,408.66x = 268,286.88 × 108,365.24
  4. Step 4: Simplify right side
    194,408.66x = 29,072,973,217.14
  5. Step 5: Solve for x
    x = 29,072,973,217.14/194,408.66
  6. Step 6: Final answer
    x = 149,545.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.