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Finding the Fourth Proportional to 193,906.71, 267,558.64 and 107,854.47

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Solution

The fourth proportional to 193,906.71, 267,558.64 and 107,854.47 is: 148,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,906.71 : 267,558.64 = 107,854.47 : x
  2. Step 2: Convert to fraction form
    193,906.71/267,558.64 = 107,854.47/x
  3. Step 3: Cross multiply
    193,906.71x = 267,558.64 × 107,854.47
  4. Step 4: Simplify right side
    193,906.71x = 28,857,395,311.12
  5. Step 5: Solve for x
    x = 28,857,395,311.12/193,906.71
  6. Step 6: Final answer
    x = 148,821.02

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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.