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Finding the Fourth Proportional to 193,978.64, 267,687.72 and 109,095.70

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Solution

The fourth proportional to 193,978.64, 267,687.72 and 109,095.70 is: 150,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,978.64 : 267,687.72 = 109,095.70 : x
  2. Step 2: Convert to fraction form
    193,978.64/267,687.72 = 109,095.70/x
  3. Step 3: Cross multiply
    193,978.64x = 267,687.72 × 109,095.70
  4. Step 4: Simplify right side
    193,978.64x = 29,203,579,194.80
  5. Step 5: Solve for x
    x = 29,203,579,194.80/193,978.64
  6. Step 6: Final answer
    x = 150,550.49

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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.