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Finding the Fourth Proportional to 223,096.60, 334,644.90 and 200,546.20

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Solution

The fourth proportional to 223,096.60, 334,644.90 and 200,546.20 is: 300,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,096.60 : 334,644.90 = 200,546.20 : x
  2. Step 2: Convert to fraction form
    223,096.60/334,644.90 = 200,546.20/x
  3. Step 3: Cross multiply
    223,096.60x = 334,644.90 × 200,546.20
  4. Step 4: Simplify right side
    223,096.60x = 67,111,763,044.38
  5. Step 5: Solve for x
    x = 67,111,763,044.38/223,096.60
  6. Step 6: Final answer
    x = 300,819.30

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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.