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Finding the Fourth Proportional to 307,136.21, 460,769.92 and 107,463.11

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Solution

The fourth proportional to 307,136.21, 460,769.92 and 107,463.11 is: 161,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,136.21 : 460,769.92 = 107,463.11 : x
  2. Step 2: Convert to fraction form
    307,136.21/460,769.92 = 107,463.11/x
  3. Step 3: Cross multiply
    307,136.21x = 460,769.92 × 107,463.11
  4. Step 4: Simplify right side
    307,136.21x = 49,515,766,025.14
  5. Step 5: Solve for x
    x = 49,515,766,025.14/307,136.21
  6. Step 6: Final answer
    x = 161,217.61

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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.