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Finding the Fourth Proportional to 193,891.74, 267,566.07 and 109,008.54

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Solution

The fourth proportional to 193,891.74, 267,566.07 and 109,008.54 is: 150,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,891.74 : 267,566.07 = 109,008.54 : x
  2. Step 2: Convert to fraction form
    193,891.74/267,566.07 = 109,008.54/x
  3. Step 3: Cross multiply
    193,891.74x = 267,566.07 × 109,008.54
  4. Step 4: Simplify right side
    193,891.74x = 29,166,986,644.24
  5. Step 5: Solve for x
    x = 29,166,986,644.24/193,891.74
  6. Step 6: Final answer
    x = 150,429.24

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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.