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Finding the Fourth Proportional to 180,867.74, 271,297.49 and 47,757.33

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Solution

The fourth proportional to 180,867.74, 271,297.49 and 47,757.33 is: 71,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,867.74 : 271,297.49 = 47,757.33 : x
  2. Step 2: Convert to fraction form
    180,867.74/271,297.49 = 47,757.33/x
  3. Step 3: Cross multiply
    180,867.74x = 271,297.49 × 47,757.33
  4. Step 4: Simplify right side
    180,867.74x = 12,956,443,519.32
  5. Step 5: Solve for x
    x = 12,956,443,519.32/180,867.74
  6. Step 6: Final answer
    x = 71,634.91

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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.