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Finding the Fourth Proportional to 206,785.94, 285,344.44 and 116,121.29

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Solution

The fourth proportional to 206,785.94, 285,344.44 and 116,121.29 is: 160,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.94 : 285,344.44 = 116,121.29 : x
  2. Step 2: Convert to fraction form
    206,785.94/285,344.44 = 116,121.29/x
  3. Step 3: Cross multiply
    206,785.94x = 285,344.44 × 116,121.29
  4. Step 4: Simplify right side
    206,785.94x = 33,134,562,750.10
  5. Step 5: Solve for x
    x = 33,134,562,750.10/206,785.94
  6. Step 6: Final answer
    x = 160,236.06

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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.