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Finding the Fourth Proportional to 203,880.10, 305,820.15 and 133,021.30

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Solution

The fourth proportional to 203,880.10, 305,820.15 and 133,021.30 is: 199,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,880.10 : 305,820.15 = 133,021.30 : x
  2. Step 2: Convert to fraction form
    203,880.10/305,820.15 = 133,021.30/x
  3. Step 3: Cross multiply
    203,880.10x = 305,820.15 × 133,021.30
  4. Step 4: Simplify right side
    203,880.10x = 40,680,593,919.20
  5. Step 5: Solve for x
    x = 40,680,593,919.20/203,880.10
  6. Step 6: Final answer
    x = 199,531.95

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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.