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Finding the Fourth Proportional to 220,194.80, 303,994.92 and 144,962

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Solution

The fourth proportional to 220,194.80, 303,994.92 and 144,962 is: 200,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,194.80 : 303,994.92 = 144,962 : x
  2. Step 2: Convert to fraction form
    220,194.80/303,994.92 = 144,962/x
  3. Step 3: Cross multiply
    220,194.80x = 303,994.92 × 144,962
  4. Step 4: Simplify right side
    220,194.80x = 44,067,711,593.04
  5. Step 5: Solve for x
    x = 44,067,711,593.04/220,194.80
  6. Step 6: Final answer
    x = 200,130.57

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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.