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Finding the Fourth Proportional to 243,769.36, 365,609.20 and 110,617.60

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Solution

The fourth proportional to 243,769.36, 365,609.20 and 110,617.60 is: 165,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,769.36 : 365,609.20 = 110,617.60 : x
  2. Step 2: Convert to fraction form
    243,769.36/365,609.20 = 110,617.60/x
  3. Step 3: Cross multiply
    243,769.36x = 365,609.20 × 110,617.60
  4. Step 4: Simplify right side
    243,769.36x = 40,442,812,241.92
  5. Step 5: Solve for x
    x = 40,442,812,241.92/243,769.36
  6. Step 6: Final answer
    x = 165,906.05

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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.