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Finding the Fourth Proportional to 224,068.80, 335,131.20 and 200,546.40

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Solution

The fourth proportional to 224,068.80, 335,131.20 and 200,546.40 is: 299,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,068.80 : 335,131.20 = 200,546.40 : x
  2. Step 2: Convert to fraction form
    224,068.80/335,131.20 = 200,546.40/x
  3. Step 3: Cross multiply
    224,068.80x = 335,131.20 × 200,546.40
  4. Step 4: Simplify right side
    224,068.80x = 67,209,355,687.68
  5. Step 5: Solve for x
    x = 67,209,355,687.68/224,068.80
  6. Step 6: Final answer
    x = 299,949.64

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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.