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Finding the Fourth Proportional to 202,022.76, 278,793.36 and 111,382.24

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Solution

The fourth proportional to 202,022.76, 278,793.36 and 111,382.24 is: 153,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.76 : 278,793.36 = 111,382.24 : x
  2. Step 2: Convert to fraction form
    202,022.76/278,793.36 = 111,382.24/x
  3. Step 3: Cross multiply
    202,022.76x = 278,793.36 × 111,382.24
  4. Step 4: Simplify right side
    202,022.76x = 31,052,628,933.93
  5. Step 5: Solve for x
    x = 31,052,628,933.93/202,022.76
  6. Step 6: Final answer
    x = 153,708.57

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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.