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Finding the Fourth Proportional to 110,200.32, 165,234.78 and 43,650

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Solution

The fourth proportional to 110,200.32, 165,234.78 and 43,650 is: 65,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,200.32 : 165,234.78 = 43,650 : x
  2. Step 2: Convert to fraction form
    110,200.32/165,234.78 = 43,650/x
  3. Step 3: Cross multiply
    110,200.32x = 165,234.78 × 43,650
  4. Step 4: Simplify right side
    110,200.32x = 7,212,498,147
  5. Step 5: Solve for x
    x = 7,212,498,147/110,200.32
  6. Step 6: Final answer
    x = 65,448.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.