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Finding the Fourth Proportional to 149,338.38, 206,080.83 and 81,354

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Solution

The fourth proportional to 149,338.38, 206,080.83 and 81,354 is: 112,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,338.38 : 206,080.83 = 81,354 : x
  2. Step 2: Convert to fraction form
    149,338.38/206,080.83 = 81,354/x
  3. Step 3: Cross multiply
    149,338.38x = 206,080.83 × 81,354
  4. Step 4: Simplify right side
    149,338.38x = 16,765,499,843.82
  5. Step 5: Solve for x
    x = 16,765,499,843.82/149,338.38
  6. Step 6: Final answer
    x = 112,265.18

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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.