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Finding the Fourth Proportional to 149,696.74, 206,581.48 and 102,033.37

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Solution

The fourth proportional to 149,696.74, 206,581.48 and 102,033.37 is: 140,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696.74 : 206,581.48 = 102,033.37 : x
  2. Step 2: Convert to fraction form
    149,696.74/206,581.48 = 102,033.37/x
  3. Step 3: Cross multiply
    149,696.74x = 206,581.48 × 102,033.37
  4. Step 4: Simplify right side
    149,696.74x = 21,078,204,583.99
  5. Step 5: Solve for x
    x = 21,078,204,583.99/149,696.74
  6. Step 6: Final answer
    x = 140,806.04

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Why These Related Problems?

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