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Finding the Fourth Proportional to 188,027.82, 259,441.38 and 111,532.50

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Solution

The fourth proportional to 188,027.82, 259,441.38 and 111,532.50 is: 153,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,027.82 : 259,441.38 = 111,532.50 : x
  2. Step 2: Convert to fraction form
    188,027.82/259,441.38 = 111,532.50/x
  3. Step 3: Cross multiply
    188,027.82x = 259,441.38 × 111,532.50
  4. Step 4: Simplify right side
    188,027.82x = 28,936,145,714.85
  5. Step 5: Solve for x
    x = 28,936,145,714.85/188,027.82
  6. Step 6: Final answer
    x = 153,892.90

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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.