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Finding the Fourth Proportional to 194,156.64, 267,891.72 and 109,242.72

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Solution

The fourth proportional to 194,156.64, 267,891.72 and 109,242.72 is: 150,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156.64 : 267,891.72 = 109,242.72 : x
  2. Step 2: Convert to fraction form
    194,156.64/267,891.72 = 109,242.72/x
  3. Step 3: Cross multiply
    194,156.64x = 267,891.72 × 109,242.72
  4. Step 4: Simplify right side
    194,156.64x = 29,265,220,158.28
  5. Step 5: Solve for x
    x = 29,265,220,158.28/194,156.64
  6. Step 6: Final answer
    x = 150,729.95

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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.