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Finding the Fourth Proportional to 194,082.88, 267,833.88 and 109,200.04

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Solution

The fourth proportional to 194,082.88, 267,833.88 and 109,200.04 is: 150,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,082.88 : 267,833.88 = 109,200.04 : x
  2. Step 2: Convert to fraction form
    194,082.88/267,833.88 = 109,200.04/x
  3. Step 3: Cross multiply
    194,082.88x = 267,833.88 × 109,200.04
  4. Step 4: Simplify right side
    194,082.88x = 29,247,470,409.36
  5. Step 5: Solve for x
    x = 29,247,470,409.36/194,082.88
  6. Step 6: Final answer
    x = 150,695.78

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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.