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Finding the Fourth Proportional to 203,508, 280,841.04 and 114,084

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Solution

The fourth proportional to 203,508, 280,841.04 and 114,084 is: 157,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,508 : 280,841.04 = 114,084 : x
  2. Step 2: Convert to fraction form
    203,508/280,841.04 = 114,084/x
  3. Step 3: Cross multiply
    203,508x = 280,841.04 × 114,084
  4. Step 4: Simplify right side
    203,508x = 32,039,469,207.36
  5. Step 5: Solve for x
    x = 32,039,469,207.36/203,508
  6. Step 6: Final answer
    x = 157,435.92

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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.