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Finding the Fourth Proportional to 150,882.72, 208,217.30 and 81,971.60

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Solution

The fourth proportional to 150,882.72, 208,217.30 and 81,971.60 is: 113,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,882.72 : 208,217.30 = 81,971.60 : x
  2. Step 2: Convert to fraction form
    150,882.72/208,217.30 = 81,971.60/x
  3. Step 3: Cross multiply
    150,882.72x = 208,217.30 × 81,971.60
  4. Step 4: Simplify right side
    150,882.72x = 17,067,905,228.68
  5. Step 5: Solve for x
    x = 17,067,905,228.68/150,882.72
  6. Step 6: Final answer
    x = 113,120.34

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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.