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Finding the Fourth Proportional to 262,924.98, 362,855.46 and 149,747.70

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Solution

The fourth proportional to 262,924.98, 362,855.46 and 149,747.70 is: 206,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,924.98 : 362,855.46 = 149,747.70 : x
  2. Step 2: Convert to fraction form
    262,924.98/362,855.46 = 149,747.70/x
  3. Step 3: Cross multiply
    262,924.98x = 362,855.46 × 149,747.70
  4. Step 4: Simplify right side
    262,924.98x = 54,336,770,567.44
  5. Step 5: Solve for x
    x = 54,336,770,567.44/262,924.98
  6. Step 6: Final answer
    x = 206,662.64

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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.