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Finding the Fourth Proportional to 206,767.68, 285,349.68 and 116,118.96

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Solution

The fourth proportional to 206,767.68, 285,349.68 and 116,118.96 is: 160,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,767.68 : 285,349.68 = 116,118.96 : x
  2. Step 2: Convert to fraction form
    206,767.68/285,349.68 = 116,118.96/x
  3. Step 3: Cross multiply
    206,767.68x = 285,349.68 × 116,118.96
  4. Step 4: Simplify right side
    206,767.68x = 33,134,508,077.93
  5. Step 5: Solve for x
    x = 33,134,508,077.93/206,767.68
  6. Step 6: Final answer
    x = 160,249.94

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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.