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Finding the Fourth Proportional to 206,009.86, 284,169.45 and 121,057.06

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Solution

The fourth proportional to 206,009.86, 284,169.45 and 121,057.06 is: 166,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,009.86 : 284,169.45 = 121,057.06 : x
  2. Step 2: Convert to fraction form
    206,009.86/284,169.45 = 121,057.06/x
  3. Step 3: Cross multiply
    206,009.86x = 284,169.45 × 121,057.06
  4. Step 4: Simplify right side
    206,009.86x = 34,400,718,158.82
  5. Step 5: Solve for x
    x = 34,400,718,158.82/206,009.86
  6. Step 6: Final answer
    x = 166,985.78

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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.