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Finding the Fourth Proportional to 224,194.37, 309,213.27 and 143,629.38

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Solution

The fourth proportional to 224,194.37, 309,213.27 and 143,629.38 is: 198,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,194.37 : 309,213.27 = 143,629.38 : x
  2. Step 2: Convert to fraction form
    224,194.37/309,213.27 = 143,629.38/x
  3. Step 3: Cross multiply
    224,194.37x = 309,213.27 × 143,629.38
  4. Step 4: Simplify right side
    224,194.37x = 44,412,110,257.87
  5. Step 5: Solve for x
    x = 44,412,110,257.87/224,194.37
  6. Step 6: Final answer
    x = 198,096.46

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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.