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Finding the Fourth Proportional to 129,460.82, 194,217.72 and 49,493.12

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Solution

The fourth proportional to 129,460.82, 194,217.72 and 49,493.12 is: 74,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,460.82 : 194,217.72 = 49,493.12 : x
  2. Step 2: Convert to fraction form
    129,460.82/194,217.72 = 49,493.12/x
  3. Step 3: Cross multiply
    129,460.82x = 194,217.72 × 49,493.12
  4. Step 4: Simplify right side
    129,460.82x = 9,612,440,922.09
  5. Step 5: Solve for x
    x = 9,612,440,922.09/129,460.82
  6. Step 6: Final answer
    x = 74,249.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.