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Finding the Fourth Proportional to 206,576.20, 309,426.90 and 184,414.60

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Solution

The fourth proportional to 206,576.20, 309,426.90 and 184,414.60 is: 276,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576.20 : 309,426.90 = 184,414.60 : x
  2. Step 2: Convert to fraction form
    206,576.20/309,426.90 = 184,414.60/x
  3. Step 3: Cross multiply
    206,576.20x = 309,426.90 × 184,414.60
  4. Step 4: Simplify right side
    206,576.20x = 57,062,837,992.74
  5. Step 5: Solve for x
    x = 57,062,837,992.74/206,576.20
  6. Step 6: Final answer
    x = 276,231.42

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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.