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Finding the Fourth Proportional to 222,072.30, 332,136.45 and 198,549.90

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Solution

The fourth proportional to 222,072.30, 332,136.45 and 198,549.90 is: 296,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,072.30 : 332,136.45 = 198,549.90 : x
  2. Step 2: Convert to fraction form
    222,072.30/332,136.45 = 198,549.90/x
  3. Step 3: Cross multiply
    222,072.30x = 332,136.45 × 198,549.90
  4. Step 4: Simplify right side
    222,072.30x = 65,945,658,933.86
  5. Step 5: Solve for x
    x = 65,945,658,933.86/222,072.30
  6. Step 6: Final answer
    x = 296,955.81

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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.