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Finding the Fourth Proportional to 149,816.52, 206,745.39 and 81,833.46

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Solution

The fourth proportional to 149,816.52, 206,745.39 and 81,833.46 is: 112,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,816.52 : 206,745.39 = 81,833.46 : x
  2. Step 2: Convert to fraction form
    149,816.52/206,745.39 = 81,833.46/x
  3. Step 3: Cross multiply
    149,816.52x = 206,745.39 × 81,833.46
  4. Step 4: Simplify right side
    149,816.52x = 16,918,690,602.75
  5. Step 5: Solve for x
    x = 16,918,690,602.75/149,816.52
  6. Step 6: Final answer
    x = 112,929.41

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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.