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Finding the Fourth Proportional to 144,660.45, 199,633.47 and 83,405.41

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Solution

The fourth proportional to 144,660.45, 199,633.47 and 83,405.41 is: 115,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,660.45 : 199,633.47 = 83,405.41 : x
  2. Step 2: Convert to fraction form
    144,660.45/199,633.47 = 83,405.41/x
  3. Step 3: Cross multiply
    144,660.45x = 199,633.47 × 83,405.41
  4. Step 4: Simplify right side
    144,660.45x = 16,650,511,415.07
  5. Step 5: Solve for x
    x = 16,650,511,415.07/144,660.45
  6. Step 6: Final answer
    x = 115,100.65

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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.