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Finding the Fourth Proportional to 206,091.52, 308,228.64 and 179,408.32

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Solution

The fourth proportional to 206,091.52, 308,228.64 and 179,408.32 is: 268,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,091.52 : 308,228.64 = 179,408.32 : x
  2. Step 2: Convert to fraction form
    206,091.52/308,228.64 = 179,408.32/x
  3. Step 3: Cross multiply
    206,091.52x = 308,228.64 × 179,408.32
  4. Step 4: Simplify right side
    206,091.52x = 55,298,782,478.28
  5. Step 5: Solve for x
    x = 55,298,782,478.28/206,091.52
  6. Step 6: Final answer
    x = 268,321.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.