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Finding the Fourth Proportional to 262,224.36, 361,866.24 and 149,039.64

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Solution

The fourth proportional to 262,224.36, 361,866.24 and 149,039.64 is: 205,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,224.36 : 361,866.24 = 149,039.64 : x
  2. Step 2: Convert to fraction form
    262,224.36/361,866.24 = 149,039.64/x
  3. Step 3: Cross multiply
    262,224.36x = 361,866.24 × 149,039.64
  4. Step 4: Simplify right side
    262,224.36x = 53,932,414,137.75
  5. Step 5: Solve for x
    x = 53,932,414,137.75/262,224.36
  6. Step 6: Final answer
    x = 205,672.78

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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.