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Finding the Fourth Proportional to 230,805.80, 345,583.11 and 119,764.52

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Solution

The fourth proportional to 230,805.80, 345,583.11 and 119,764.52 is: 179,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,805.80 : 345,583.11 = 119,764.52 : x
  2. Step 2: Convert to fraction form
    230,805.80/345,583.11 = 119,764.52/x
  3. Step 3: Cross multiply
    230,805.80x = 345,583.11 × 119,764.52
  4. Step 4: Simplify right side
    230,805.80x = 41,388,595,289.26
  5. Step 5: Solve for x
    x = 41,388,595,289.26/230,805.80
  6. Step 6: Final answer
    x = 179,322.16

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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.