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Finding the Fourth Proportional to 234,198, 323,105.04 and 153,669.96

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Solution

The fourth proportional to 234,198, 323,105.04 and 153,669.96 is: 212,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,198 : 323,105.04 = 153,669.96 : x
  2. Step 2: Convert to fraction form
    234,198/323,105.04 = 153,669.96/x
  3. Step 3: Cross multiply
    234,198x = 323,105.04 × 153,669.96
  4. Step 4: Simplify right side
    234,198x = 49,651,538,572.60
  5. Step 5: Solve for x
    x = 49,651,538,572.60/234,198
  6. Step 6: Final answer
    x = 212,006.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.