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Finding the Fourth Proportional to 194,057.40, 267,787.98 and 109,169.40

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Solution

The fourth proportional to 194,057.40, 267,787.98 and 109,169.40 is: 150,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,057.40 : 267,787.98 = 109,169.40 : x
  2. Step 2: Convert to fraction form
    194,057.40/267,787.98 = 109,169.40/x
  3. Step 3: Cross multiply
    194,057.40x = 267,787.98 × 109,169.40
  4. Step 4: Simplify right side
    194,057.40x = 29,234,253,103.81
  5. Step 5: Solve for x
    x = 29,234,253,103.81/194,057.40
  6. Step 6: Final answer
    x = 150,647.45

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1.5x scale

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.