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Finding the Fourth Proportional to 191,414, 287,099.09 and 51,183.56

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Solution

The fourth proportional to 191,414, 287,099.09 and 51,183.56 is: 76,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,414 : 287,099.09 = 51,183.56 : x
  2. Step 2: Convert to fraction form
    191,414/287,099.09 = 51,183.56/x
  3. Step 3: Cross multiply
    191,414x = 287,099.09 × 51,183.56
  4. Step 4: Simplify right side
    191,414x = 14,694,753,498.96
  5. Step 5: Solve for x
    x = 14,694,753,498.96/191,414
  6. Step 6: Final answer
    x = 76,769.48

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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.