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Finding the Fourth Proportional to 230,696.92, 318,519.12 and 149,222.62

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Solution

The fourth proportional to 230,696.92, 318,519.12 and 149,222.62 is: 206,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,696.92 : 318,519.12 = 149,222.62 : x
  2. Step 2: Convert to fraction form
    230,696.92/318,519.12 = 149,222.62/x
  3. Step 3: Cross multiply
    230,696.92x = 318,519.12 × 149,222.62
  4. Step 4: Simplify right side
    230,696.92x = 47,530,257,606.49
  5. Step 5: Solve for x
    x = 47,530,257,606.49/230,696.92
  6. Step 6: Final answer
    x = 206,029.01

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Why These Related Problems?

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