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Finding the Fourth Proportional to 193,941.32, 267,640.64 and 109,057.64

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Solution

The fourth proportional to 193,941.32, 267,640.64 and 109,057.64 is: 150,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,941.32 : 267,640.64 = 109,057.64 : x
  2. Step 2: Convert to fraction form
    193,941.32/267,640.64 = 109,057.64/x
  3. Step 3: Cross multiply
    193,941.32x = 267,640.64 × 109,057.64
  4. Step 4: Simplify right side
    193,941.32x = 29,188,256,566.49
  5. Step 5: Solve for x
    x = 29,188,256,566.49/193,941.32
  6. Step 6: Final answer
    x = 150,500.45

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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.