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Finding the Fourth Proportional to 193,980.42, 267,695.42 and 109,097.48

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Solution

The fourth proportional to 193,980.42, 267,695.42 and 109,097.48 is: 150,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,980.42 : 267,695.42 = 109,097.48 : x
  2. Step 2: Convert to fraction form
    193,980.42/267,695.42 = 109,097.48/x
  3. Step 3: Cross multiply
    193,980.42x = 267,695.42 × 109,097.48
  4. Step 4: Simplify right side
    193,980.42x = 29,204,895,853.29
  5. Step 5: Solve for x
    x = 29,204,895,853.29/193,980.42
  6. Step 6: Final answer
    x = 150,555.90

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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.