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Finding the Fourth Proportional to 224,622.05, 310,306.34 and 194,354.82

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Solution

The fourth proportional to 224,622.05, 310,306.34 and 194,354.82 is: 268,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,622.05 : 310,306.34 = 194,354.82 : x
  2. Step 2: Convert to fraction form
    224,622.05/310,306.34 = 194,354.82/x
  3. Step 3: Cross multiply
    224,622.05x = 310,306.34 × 194,354.82
  4. Step 4: Simplify right side
    224,622.05x = 60,309,531,883.78
  5. Step 5: Solve for x
    x = 60,309,531,883.78/224,622.05
  6. Step 6: Final answer
    x = 268,493.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.