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Finding the Fourth Proportional to 193,803.38, 267,372.74 and 142,938.22

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Solution

The fourth proportional to 193,803.38, 267,372.74 and 142,938.22 is: 197,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,803.38 : 267,372.74 = 142,938.22 : x
  2. Step 2: Convert to fraction form
    193,803.38/267,372.74 = 142,938.22/x
  3. Step 3: Cross multiply
    193,803.38x = 267,372.74 × 142,938.22
  4. Step 4: Simplify right side
    193,803.38x = 38,217,783,532.12
  5. Step 5: Solve for x
    x = 38,217,783,532.12/193,803.38
  6. Step 6: Final answer
    x = 197,198.75

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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.