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Finding the Fourth Proportional to 206,591.20, 309,449.40 and 184,429.60

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Solution

The fourth proportional to 206,591.20, 309,449.40 and 184,429.60 is: 276,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,591.20 : 309,449.40 = 184,429.60 : x
  2. Step 2: Convert to fraction form
    206,591.20/309,449.40 = 184,429.60/x
  3. Step 3: Cross multiply
    206,591.20x = 309,449.40 × 184,429.60
  4. Step 4: Simplify right side
    206,591.20x = 57,071,629,062.24
  5. Step 5: Solve for x
    x = 57,071,629,062.24/206,591.20
  6. Step 6: Final answer
    x = 276,253.92

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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.