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Finding the Fourth Proportional to 149,718, 206,610.84 and 82,650.48

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Solution

The fourth proportional to 149,718, 206,610.84 and 82,650.48 is: 114,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718 : 206,610.84 = 82,650.48 : x
  2. Step 2: Convert to fraction form
    149,718/206,610.84 = 82,650.48/x
  3. Step 3: Cross multiply
    149,718x = 206,610.84 × 82,650.48
  4. Step 4: Simplify right side
    149,718x = 17,076,485,099.20
  5. Step 5: Solve for x
    x = 17,076,485,099.20/149,718
  6. Step 6: Final answer
    x = 114,057.66

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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.