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Finding the Fourth Proportional to 149,797.49, 206,715.85 and 81,813.38

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Solution

The fourth proportional to 149,797.49, 206,715.85 and 81,813.38 is: 112,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797.49 : 206,715.85 = 81,813.38 : x
  2. Step 2: Convert to fraction form
    149,797.49/206,715.85 = 81,813.38/x
  3. Step 3: Cross multiply
    149,797.49x = 206,715.85 × 81,813.38
  4. Step 4: Simplify right side
    149,797.49x = 16,912,121,149.96
  5. Step 5: Solve for x
    x = 16,912,121,149.96/149,797.49
  6. Step 6: Final answer
    x = 112,899.90

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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.