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Finding the Fourth Proportional to 252,105.83, 378,217.49 and 83,613.83

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Solution

The fourth proportional to 252,105.83, 378,217.49 and 83,613.83 is: 125,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,105.83 : 378,217.49 = 83,613.83 : x
  2. Step 2: Convert to fraction form
    252,105.83/378,217.49 = 83,613.83/x
  3. Step 3: Cross multiply
    252,105.83x = 378,217.49 × 83,613.83
  4. Step 4: Simplify right side
    252,105.83x = 31,624,212,493.82
  5. Step 5: Solve for x
    x = 31,624,212,493.82/252,105.83
  6. Step 6: Final answer
    x = 125,440.23

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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.