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Finding the Fourth Proportional to 194,092.74, 267,819.21 and 109,204.74

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Solution

The fourth proportional to 194,092.74, 267,819.21 and 109,204.74 is: 150,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,092.74 : 267,819.21 = 109,204.74 : x
  2. Step 2: Convert to fraction form
    194,092.74/267,819.21 = 109,204.74/x
  3. Step 3: Cross multiply
    194,092.74x = 267,819.21 × 109,204.74
  4. Step 4: Simplify right side
    194,092.74x = 29,247,127,195.06
  5. Step 5: Solve for x
    x = 29,247,127,195.06/194,092.74
  6. Step 6: Final answer
    x = 150,686.35

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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.