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Finding the Fourth Proportional to 150,147.42, 207,203.42 and 82,164.41

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Solution

The fourth proportional to 150,147.42, 207,203.42 and 82,164.41 is: 113,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,147.42 : 207,203.42 = 82,164.41 : x
  2. Step 2: Convert to fraction form
    150,147.42/207,203.42 = 82,164.41/x
  3. Step 3: Cross multiply
    150,147.42x = 207,203.42 × 82,164.41
  4. Step 4: Simplify right side
    150,147.42x = 17,024,745,923.68
  5. Step 5: Solve for x
    x = 17,024,745,923.68/150,147.42
  6. Step 6: Final answer
    x = 113,386.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.