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Finding the Fourth Proportional to 204,046.40, 306,069.60 and 182,273.60

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Solution

The fourth proportional to 204,046.40, 306,069.60 and 182,273.60 is: 273,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046.40 : 306,069.60 = 182,273.60 : x
  2. Step 2: Convert to fraction form
    204,046.40/306,069.60 = 182,273.60/x
  3. Step 3: Cross multiply
    204,046.40x = 306,069.60 × 182,273.60
  4. Step 4: Simplify right side
    204,046.40x = 55,788,407,842.56
  5. Step 5: Solve for x
    x = 55,788,407,842.56/204,046.40
  6. Step 6: Final answer
    x = 273,410.40

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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.