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Finding the Fourth Proportional to 223,874.40, 335,617.20 and 135,033.60

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Solution

The fourth proportional to 223,874.40, 335,617.20 and 135,033.60 is: 202,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,874.40 : 335,617.20 = 135,033.60 : x
  2. Step 2: Convert to fraction form
    223,874.40/335,617.20 = 135,033.60/x
  3. Step 3: Cross multiply
    223,874.40x = 335,617.20 × 135,033.60
  4. Step 4: Simplify right side
    223,874.40x = 45,319,598,737.92
  5. Step 5: Solve for x
    x = 45,319,598,737.92/223,874.40
  6. Step 6: Final answer
    x = 202,433.14

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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.