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Finding the Fourth Proportional to 262,998, 362,937.24 and 149,820.75

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Solution

The fourth proportional to 262,998, 362,937.24 and 149,820.75 is: 206,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,998 : 362,937.24 = 149,820.75 : x
  2. Step 2: Convert to fraction form
    262,998/362,937.24 = 149,820.75/x
  3. Step 3: Cross multiply
    262,998x = 362,937.24 × 149,820.75
  4. Step 4: Simplify right side
    262,998x = 54,375,529,499.73
  5. Step 5: Solve for x
    x = 54,375,529,499.73/262,998
  6. Step 6: Final answer
    x = 206,752.64

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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.