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Finding the Fourth Proportional to 193,678.26, 267,289.62 and 108,795.38

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Solution

The fourth proportional to 193,678.26, 267,289.62 and 108,795.38 is: 150,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,678.26 : 267,289.62 = 108,795.38 : x
  2. Step 2: Convert to fraction form
    193,678.26/267,289.62 = 108,795.38/x
  3. Step 3: Cross multiply
    193,678.26x = 267,289.62 × 108,795.38
  4. Step 4: Simplify right side
    193,678.26x = 29,079,875,777.96
  5. Step 5: Solve for x
    x = 29,079,875,777.96/193,678.26
  6. Step 6: Final answer
    x = 150,145.28

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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.