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Finding the Fourth Proportional to 193,629.16, 267,406.50 and 133,356.52

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Solution

The fourth proportional to 193,629.16, 267,406.50 and 133,356.52 is: 184,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,629.16 : 267,406.50 = 133,356.52 : x
  2. Step 2: Convert to fraction form
    193,629.16/267,406.50 = 133,356.52/x
  3. Step 3: Cross multiply
    193,629.16x = 267,406.50 × 133,356.52
  4. Step 4: Simplify right side
    193,629.16x = 35,660,400,265.38
  5. Step 5: Solve for x
    x = 35,660,400,265.38/193,629.16
  6. Step 6: Final answer
    x = 184,168.54

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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.