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Finding the Fourth Proportional to 194,164.92, 267,911.82 and 109,263.96

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Solution

The fourth proportional to 194,164.92, 267,911.82 and 109,263.96 is: 150,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,164.92 : 267,911.82 = 109,263.96 : x
  2. Step 2: Convert to fraction form
    194,164.92/267,911.82 = 109,263.96/x
  3. Step 3: Cross multiply
    194,164.92x = 267,911.82 × 109,263.96
  4. Step 4: Simplify right side
    194,164.92x = 29,273,106,384.01
  5. Step 5: Solve for x
    x = 29,273,106,384.01/194,164.92
  6. Step 6: Final answer
    x = 150,764.14

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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.