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Finding the Fourth Proportional to 150,185.25, 225,102.92 and 83,593.53

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Solution

The fourth proportional to 150,185.25, 225,102.92 and 83,593.53 is: 125,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,185.25 : 225,102.92 = 83,593.53 : x
  2. Step 2: Convert to fraction form
    150,185.25/225,102.92 = 83,593.53/x
  3. Step 3: Cross multiply
    150,185.25x = 225,102.92 × 83,593.53
  4. Step 4: Simplify right side
    150,185.25x = 18,817,147,278.14
  5. Step 5: Solve for x
    x = 18,817,147,278.14/150,185.25
  6. Step 6: Final answer
    x = 125,292.91

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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.