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Finding the Fourth Proportional to 270,786.26, 373,696.72 and 149,927.54

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Solution

The fourth proportional to 270,786.26, 373,696.72 and 149,927.54 is: 206,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,786.26 : 373,696.72 = 149,927.54 : x
  2. Step 2: Convert to fraction form
    270,786.26/373,696.72 = 149,927.54/x
  3. Step 3: Cross multiply
    270,786.26x = 373,696.72 × 149,927.54
  4. Step 4: Simplify right side
    270,786.26x = 56,027,430,495.09
  5. Step 5: Solve for x
    x = 56,027,430,495.09/270,786.26
  6. Step 6: Final answer
    x = 206,906.47

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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.