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Finding the Fourth Proportional to 144,340.32, 199,173.36 and 80,676

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Solution

The fourth proportional to 144,340.32, 199,173.36 and 80,676 is: 111,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,340.32 : 199,173.36 = 80,676 : x
  2. Step 2: Convert to fraction form
    144,340.32/199,173.36 = 80,676/x
  3. Step 3: Cross multiply
    144,340.32x = 199,173.36 × 80,676
  4. Step 4: Simplify right side
    144,340.32x = 16,068,509,991.36
  5. Step 5: Solve for x
    x = 16,068,509,991.36/144,340.32
  6. Step 6: Final answer
    x = 111,323.78

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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.