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Finding the Fourth Proportional to 149,616.11, 206,229.04 and 101,200.38

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Solution

The fourth proportional to 149,616.11, 206,229.04 and 101,200.38 is: 139,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,616.11 : 206,229.04 = 101,200.38 : x
  2. Step 2: Convert to fraction form
    149,616.11/206,229.04 = 101,200.38/x
  3. Step 3: Cross multiply
    149,616.11x = 206,229.04 × 101,200.38
  4. Step 4: Simplify right side
    149,616.11x = 20,870,457,215.04
  5. Step 5: Solve for x
    x = 20,870,457,215.04/149,616.11
  6. Step 6: Final answer
    x = 139,493.38

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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.