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Finding the Fourth Proportional to 193,697.82, 267,309.87 and 107,658.54

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Solution

The fourth proportional to 193,697.82, 267,309.87 and 107,658.54 is: 148,572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,697.82 : 267,309.87 = 107,658.54 : x
  2. Step 2: Convert to fraction form
    193,697.82/267,309.87 = 107,658.54/x
  3. Step 3: Cross multiply
    193,697.82x = 267,309.87 × 107,658.54
  4. Step 4: Simplify right side
    193,697.82x = 28,778,190,331.79
  5. Step 5: Solve for x
    x = 28,778,190,331.79/193,697.82
  6. Step 6: Final answer
    x = 148,572.61

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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.