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Finding the Fourth Proportional to 361,249.80, 541,880.16 and 136,716

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Solution

The fourth proportional to 361,249.80, 541,880.16 and 136,716 is: 205,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,249.80 : 541,880.16 = 136,716 : x
  2. Step 2: Convert to fraction form
    361,249.80/541,880.16 = 136,716/x
  3. Step 3: Cross multiply
    361,249.80x = 541,880.16 × 136,716
  4. Step 4: Simplify right side
    361,249.80x = 74,083,687,954.56
  5. Step 5: Solve for x
    x = 74,083,687,954.56/361,249.80
  6. Step 6: Final answer
    x = 205,076.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.