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Finding the Fourth Proportional to 269,719.20, 404,724.60 and 119,982.60

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Solution

The fourth proportional to 269,719.20, 404,724.60 and 119,982.60 is: 180,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,719.20 : 404,724.60 = 119,982.60 : x
  2. Step 2: Convert to fraction form
    269,719.20/404,724.60 = 119,982.60/x
  3. Step 3: Cross multiply
    269,719.20x = 404,724.60 × 119,982.60
  4. Step 4: Simplify right side
    269,719.20x = 48,559,909,791.96
  5. Step 5: Solve for x
    x = 48,559,909,791.96/269,719.20
  6. Step 6: Final answer
    x = 180,038.76

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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.