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Finding the Fourth Proportional to 180,877.74, 271,279.64 and 68,519.22

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Solution

The fourth proportional to 180,877.74, 271,279.64 and 68,519.22 is: 102,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,877.74 : 271,279.64 = 68,519.22 : x
  2. Step 2: Convert to fraction form
    180,877.74/271,279.64 = 68,519.22/x
  3. Step 3: Cross multiply
    180,877.74x = 271,279.64 × 68,519.22
  4. Step 4: Simplify right side
    180,877.74x = 18,587,869,334.68
  5. Step 5: Solve for x
    x = 18,587,869,334.68/180,877.74
  6. Step 6: Final answer
    x = 102,764.83

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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.