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Finding the Fourth Proportional to 144,650.52, 199,618.02 and 80,991

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Solution

The fourth proportional to 144,650.52, 199,618.02 and 80,991 is: 111,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,650.52 : 199,618.02 = 80,991 : x
  2. Step 2: Convert to fraction form
    144,650.52/199,618.02 = 80,991/x
  3. Step 3: Cross multiply
    144,650.52x = 199,618.02 × 80,991
  4. Step 4: Simplify right side
    144,650.52x = 16,167,263,057.82
  5. Step 5: Solve for x
    x = 16,167,263,057.82/144,650.52
  6. Step 6: Final answer
    x = 111,767.75

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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.