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Finding the Fourth Proportional to 113,193.96, 169,732.62 and 50,811

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Solution

The fourth proportional to 113,193.96, 169,732.62 and 50,811 is: 76,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,193.96 : 169,732.62 = 50,811 : x
  2. Step 2: Convert to fraction form
    113,193.96/169,732.62 = 50,811/x
  3. Step 3: Cross multiply
    113,193.96x = 169,732.62 × 50,811
  4. Step 4: Simplify right side
    113,193.96x = 8,624,284,154.82
  5. Step 5: Solve for x
    x = 8,624,284,154.82/113,193.96
  6. Step 6: Final answer
    x = 76,190.32

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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.