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Finding the Fourth Proportional to 214,910.46, 322,365.69 and 67,166.46

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Solution

The fourth proportional to 214,910.46, 322,365.69 and 67,166.46 is: 100,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910.46 : 322,365.69 = 67,166.46 : x
  2. Step 2: Convert to fraction form
    214,910.46/322,365.69 = 67,166.46/x
  3. Step 3: Cross multiply
    214,910.46x = 322,365.69 × 67,166.46
  4. Step 4: Simplify right side
    214,910.46x = 21,652,162,222.76
  5. Step 5: Solve for x
    x = 21,652,162,222.76/214,910.46
  6. Step 6: Final answer
    x = 100,749.69

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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.