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Finding the Fourth Proportional to 280,279.20, 419,957.10 and 161,743.80

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Solution

The fourth proportional to 280,279.20, 419,957.10 and 161,743.80 is: 242,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,279.20 : 419,957.10 = 161,743.80 : x
  2. Step 2: Convert to fraction form
    280,279.20/419,957.10 = 161,743.80/x
  3. Step 3: Cross multiply
    280,279.20x = 419,957.10 × 161,743.80
  4. Step 4: Simplify right side
    280,279.20x = 67,925,457,190.98
  5. Step 5: Solve for x
    x = 67,925,457,190.98/280,279.20
  6. Step 6: Final answer
    x = 242,349.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.