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Finding the Fourth Proportional to 264,321.74, 364,769.43 and 149,600.37

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Solution

The fourth proportional to 264,321.74, 364,769.43 and 149,600.37 is: 206,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321.74 : 364,769.43 = 149,600.37 : x
  2. Step 2: Convert to fraction form
    264,321.74/364,769.43 = 149,600.37/x
  3. Step 3: Cross multiply
    264,321.74x = 364,769.43 × 149,600.37
  4. Step 4: Simplify right side
    264,321.74x = 54,569,642,253.69
  5. Step 5: Solve for x
    x = 54,569,642,253.69/264,321.74
  6. Step 6: Final answer
    x = 206,451.59

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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.