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Finding the Fourth Proportional to 147,961.50, 204,187.59 and 80,893.50

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Solution

The fourth proportional to 147,961.50, 204,187.59 and 80,893.50 is: 111,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,961.50 : 204,187.59 = 80,893.50 : x
  2. Step 2: Convert to fraction form
    147,961.50/204,187.59 = 80,893.50/x
  3. Step 3: Cross multiply
    147,961.50x = 204,187.59 × 80,893.50
  4. Step 4: Simplify right side
    147,961.50x = 16,517,448,811.67
  5. Step 5: Solve for x
    x = 16,517,448,811.67/147,961.50
  6. Step 6: Final answer
    x = 111,633.42

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Why These Related Problems?

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