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Finding the Fourth Proportional to 312,820.92, 469,231.92 and 76,163.76

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Solution

The fourth proportional to 312,820.92, 469,231.92 and 76,163.76 is: 114,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,820.92 : 469,231.92 = 76,163.76 : x
  2. Step 2: Convert to fraction form
    312,820.92/469,231.92 = 76,163.76/x
  3. Step 3: Cross multiply
    312,820.92x = 469,231.92 × 76,163.76
  4. Step 4: Simplify right side
    312,820.92x = 35,738,467,339.22
  5. Step 5: Solve for x
    x = 35,738,467,339.22/312,820.92
  6. Step 6: Final answer
    x = 114,245.77

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