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Finding the Fourth Proportional to 182,241.30, 251,269.56 and 149,862.77

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Solution

The fourth proportional to 182,241.30, 251,269.56 and 149,862.77 is: 206,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,241.30 : 251,269.56 = 149,862.77 : x
  2. Step 2: Convert to fraction form
    182,241.30/251,269.56 = 149,862.77/x
  3. Step 3: Cross multiply
    182,241.30x = 251,269.56 × 149,862.77
  4. Step 4: Simplify right side
    182,241.30x = 37,655,951,021.93
  5. Step 5: Solve for x
    x = 37,655,951,021.93/182,241.30
  6. Step 6: Final answer
    x = 206,626.88

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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.