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Finding the Fourth Proportional to 230,806.05, 345,583.49 and 119,764.77

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Solution

The fourth proportional to 230,806.05, 345,583.49 and 119,764.77 is: 179,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,806.05 : 345,583.49 = 119,764.77 : x
  2. Step 2: Convert to fraction form
    230,806.05/345,583.49 = 119,764.77/x
  3. Step 3: Cross multiply
    230,806.05x = 345,583.49 × 119,764.77
  4. Step 4: Simplify right side
    230,806.05x = 41,388,726,596.82
  5. Step 5: Solve for x
    x = 41,388,726,596.82/230,806.05
  6. Step 6: Final answer
    x = 179,322.54

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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.