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Finding the Fourth Proportional to 281,833.20, 388,933 and 160,990.48

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Solution

The fourth proportional to 281,833.20, 388,933 and 160,990.48 is: 222,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,833.20 : 388,933 = 160,990.48 : x
  2. Step 2: Convert to fraction form
    281,833.20/388,933 = 160,990.48/x
  3. Step 3: Cross multiply
    281,833.20x = 388,933 × 160,990.48
  4. Step 4: Simplify right side
    281,833.20x = 62,614,510,357.84
  5. Step 5: Solve for x
    x = 62,614,510,357.84/281,833.20
  6. Step 6: Final answer
    x = 222,168.68

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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.