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Finding the Fourth Proportional to 262,994.28, 362,843.46 and 149,736.84

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Solution

The fourth proportional to 262,994.28, 362,843.46 and 149,736.84 is: 206,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,994.28 : 362,843.46 = 149,736.84 : x
  2. Step 2: Convert to fraction form
    262,994.28/362,843.46 = 149,736.84/x
  3. Step 3: Cross multiply
    262,994.28x = 362,843.46 × 149,736.84
  4. Step 4: Simplify right side
    262,994.28x = 54,331,033,115.07
  5. Step 5: Solve for x
    x = 54,331,033,115.07/262,994.28
  6. Step 6: Final answer
    x = 206,586.37

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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.