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Finding the Fourth Proportional to 264,505.08, 364,928.22 and 149,768.04

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Solution

The fourth proportional to 264,505.08, 364,928.22 and 149,768.04 is: 206,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,505.08 : 364,928.22 = 149,768.04 : x
  2. Step 2: Convert to fraction form
    264,505.08/364,928.22 = 149,768.04/x
  3. Step 3: Cross multiply
    264,505.08x = 364,928.22 × 149,768.04
  4. Step 4: Simplify right side
    264,505.08x = 54,654,584,250.09
  5. Step 5: Solve for x
    x = 54,654,584,250.09/264,505.08
  6. Step 6: Final answer
    x = 206,629.62

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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.