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Finding the Fourth Proportional to 182,242.30, 251,270.94 and 149,863.77

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Solution

The fourth proportional to 182,242.30, 251,270.94 and 149,863.77 is: 206,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,242.30 : 251,270.94 = 149,863.77 : x
  2. Step 2: Convert to fraction form
    182,242.30/251,270.94 = 149,863.77/x
  3. Step 3: Cross multiply
    182,242.30x = 251,270.94 × 149,863.77
  4. Step 4: Simplify right side
    182,242.30x = 37,656,410,359.84
  5. Step 5: Solve for x
    x = 37,656,410,359.84/182,242.30
  6. Step 6: Final answer
    x = 206,628.27

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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.