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Finding the Fourth Proportional to 193,892.57, 267,587.90 and 107,867.76

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Solution

The fourth proportional to 193,892.57, 267,587.90 and 107,867.76 is: 148,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,892.57 : 267,587.90 = 107,867.76 : x
  2. Step 2: Convert to fraction form
    193,892.57/267,587.90 = 107,867.76/x
  3. Step 3: Cross multiply
    193,892.57x = 267,587.90 × 107,867.76
  4. Step 4: Simplify right side
    193,892.57x = 28,864,107,645.77
  5. Step 5: Solve for x
    x = 28,864,107,645.77/193,892.57
  6. Step 6: Final answer
    x = 148,866.49

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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.