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Finding the Fourth Proportional to 204,817.60, 307,226.40 and 181,489.60

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Solution

The fourth proportional to 204,817.60, 307,226.40 and 181,489.60 is: 272,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,817.60 : 307,226.40 = 181,489.60 : x
  2. Step 2: Convert to fraction form
    204,817.60/307,226.40 = 181,489.60/x
  3. Step 3: Cross multiply
    204,817.60x = 307,226.40 × 181,489.60
  4. Step 4: Simplify right side
    204,817.60x = 55,758,396,445.44
  5. Step 5: Solve for x
    x = 55,758,396,445.44/204,817.60
  6. Step 6: Final answer
    x = 272,234.40

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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.