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Finding the Fourth Proportional to 144,766.05, 199,761.02 and 84,324.05

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Solution

The fourth proportional to 144,766.05, 199,761.02 and 84,324.05 is: 116,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,766.05 : 199,761.02 = 84,324.05 : x
  2. Step 2: Convert to fraction form
    144,766.05/199,761.02 = 84,324.05/x
  3. Step 3: Cross multiply
    144,766.05x = 199,761.02 × 84,324.05
  4. Step 4: Simplify right side
    144,766.05x = 16,844,658,238.53
  5. Step 5: Solve for x
    x = 16,844,658,238.53/144,766.05
  6. Step 6: Final answer
    x = 116,357.79

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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.