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Finding the Fourth Proportional to 203,511, 280,845.18 and 114,087

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Solution

The fourth proportional to 203,511, 280,845.18 and 114,087 is: 157,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,511 : 280,845.18 = 114,087 : x
  2. Step 2: Convert to fraction form
    203,511/280,845.18 = 114,087/x
  3. Step 3: Cross multiply
    203,511x = 280,845.18 × 114,087
  4. Step 4: Simplify right side
    203,511x = 32,040,784,050.66
  5. Step 5: Solve for x
    x = 32,040,784,050.66/203,511
  6. Step 6: Final answer
    x = 157,440.06

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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.