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Finding the Fourth Proportional to 203,894.10, 305,841.15 and 133,035.30

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Solution

The fourth proportional to 203,894.10, 305,841.15 and 133,035.30 is: 199,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894.10 : 305,841.15 = 133,035.30 : x
  2. Step 2: Convert to fraction form
    203,894.10/305,841.15 = 133,035.30/x
  3. Step 3: Cross multiply
    203,894.10x = 305,841.15 × 133,035.30
  4. Step 4: Simplify right side
    203,894.10x = 40,687,669,142.60
  5. Step 5: Solve for x
    x = 40,687,669,142.60/203,894.10
  6. Step 6: Final answer
    x = 199,552.95

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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.