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Finding the Fourth Proportional to 109,171.30, 150,575.73 and 75,190.54

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Solution

The fourth proportional to 109,171.30, 150,575.73 and 75,190.54 is: 103,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,171.30 : 150,575.73 = 75,190.54 : x
  2. Step 2: Convert to fraction form
    109,171.30/150,575.73 = 75,190.54/x
  3. Step 3: Cross multiply
    109,171.30x = 150,575.73 × 75,190.54
  4. Step 4: Simplify right side
    109,171.30x = 11,321,870,449.59
  5. Step 5: Solve for x
    x = 11,321,870,449.59/109,171.30
  6. Step 6: Final answer
    x = 103,707.39

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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.