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Finding the Fourth Proportional to 230,085.47, 344,593.07 and 222,103.09

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Solution

The fourth proportional to 230,085.47, 344,593.07 and 222,103.09 is: 332,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,085.47 : 344,593.07 = 222,103.09 : x
  2. Step 2: Convert to fraction form
    230,085.47/344,593.07 = 222,103.09/x
  3. Step 3: Cross multiply
    230,085.47x = 344,593.07 × 222,103.09
  4. Step 4: Simplify right side
    230,085.47x = 76,535,187,202.21
  5. Step 5: Solve for x
    x = 76,535,187,202.21/230,085.47
  6. Step 6: Final answer
    x = 332,638.07

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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.