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Finding the Fourth Proportional to 206,593.20, 309,452.40 and 184,431.60

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Solution

The fourth proportional to 206,593.20, 309,452.40 and 184,431.60 is: 276,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.20 : 309,452.40 = 184,431.60 : x
  2. Step 2: Convert to fraction form
    206,593.20/309,452.40 = 184,431.60/x
  3. Step 3: Cross multiply
    206,593.20x = 309,452.40 × 184,431.60
  4. Step 4: Simplify right side
    206,593.20x = 57,072,801,255.84
  5. Step 5: Solve for x
    x = 57,072,801,255.84/206,593.20
  6. Step 6: Final answer
    x = 276,256.92

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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.