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Finding the Fourth Proportional to 203,434.10, 305,151.15 and 192,029.30

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Solution

The fourth proportional to 203,434.10, 305,151.15 and 192,029.30 is: 288,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,434.10 : 305,151.15 = 192,029.30 : x
  2. Step 2: Convert to fraction form
    203,434.10/305,151.15 = 192,029.30/x
  3. Step 3: Cross multiply
    203,434.10x = 305,151.15 × 192,029.30
  4. Step 4: Simplify right side
    203,434.10x = 58,597,961,728.70
  5. Step 5: Solve for x
    x = 58,597,961,728.70/203,434.10
  6. Step 6: Final answer
    x = 288,043.95

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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.