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Finding the Fourth Proportional to 206,943.66, 285,532.36 and 120,853.77

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Solution

The fourth proportional to 206,943.66, 285,532.36 and 120,853.77 is: 166,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,943.66 : 285,532.36 = 120,853.77 : x
  2. Step 2: Convert to fraction form
    206,943.66/285,532.36 = 120,853.77/x
  3. Step 3: Cross multiply
    206,943.66x = 285,532.36 × 120,853.77
  4. Step 4: Simplify right side
    206,943.66x = 34,507,661,860.86
  5. Step 5: Solve for x
    x = 34,507,661,860.86/206,943.66
  6. Step 6: Final answer
    x = 166,749.07

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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.