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Finding the Fourth Proportional to 205,003.80, 282,791.52 and 120,104.46

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Solution

The fourth proportional to 205,003.80, 282,791.52 and 120,104.46 is: 165,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,003.80 : 282,791.52 = 120,104.46 : x
  2. Step 2: Convert to fraction form
    205,003.80/282,791.52 = 120,104.46/x
  3. Step 3: Cross multiply
    205,003.80x = 282,791.52 × 120,104.46
  4. Step 4: Simplify right side
    205,003.80x = 33,964,522,802.18
  5. Step 5: Solve for x
    x = 33,964,522,802.18/205,003.80
  6. Step 6: Final answer
    x = 165,677.53

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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.