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Finding the Fourth Proportional to 262,584.64, 362,367.84 and 149,404.96

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Solution

The fourth proportional to 262,584.64, 362,367.84 and 149,404.96 is: 206,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584.64 : 362,367.84 = 149,404.96 : x
  2. Step 2: Convert to fraction form
    262,584.64/362,367.84 = 149,404.96/x
  3. Step 3: Cross multiply
    262,584.64x = 362,367.84 × 149,404.96
  4. Step 4: Simplify right side
    262,584.64x = 54,139,552,640.49
  5. Step 5: Solve for x
    x = 54,139,552,640.49/262,584.64
  6. Step 6: Final answer
    x = 206,179.43

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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.