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Finding the Fourth Proportional to 149,895.38, 206,853.10 and 81,910.87

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Solution

The fourth proportional to 149,895.38, 206,853.10 and 81,910.87 is: 113,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,895.38 : 206,853.10 = 81,910.87 : x
  2. Step 2: Convert to fraction form
    149,895.38/206,853.10 = 81,910.87/x
  3. Step 3: Cross multiply
    149,895.38x = 206,853.10 × 81,910.87
  4. Step 4: Simplify right side
    149,895.38x = 16,943,516,661.29
  5. Step 5: Solve for x
    x = 16,943,516,661.29/149,895.38
  6. Step 6: Final answer
    x = 113,035.61

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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.