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Finding the Fourth Proportional to 180,519.60, 270,826.38 and 68,200.68

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Solution

The fourth proportional to 180,519.60, 270,826.38 and 68,200.68 is: 102,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,519.60 : 270,826.38 = 68,200.68 : x
  2. Step 2: Convert to fraction form
    180,519.60/270,826.38 = 68,200.68/x
  3. Step 3: Cross multiply
    180,519.60x = 270,826.38 × 68,200.68
  4. Step 4: Simplify right side
    180,519.60x = 18,470,543,277.94
  5. Step 5: Solve for x
    x = 18,470,543,277.94/180,519.60
  6. Step 6: Final answer
    x = 102,318.77

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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.