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Finding the Fourth Proportional to 206,169.54, 284,509.14 and 121,292.06

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Solution

The fourth proportional to 206,169.54, 284,509.14 and 121,292.06 is: 167,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,169.54 : 284,509.14 = 121,292.06 : x
  2. Step 2: Convert to fraction form
    206,169.54/284,509.14 = 121,292.06/x
  3. Step 3: Cross multiply
    206,169.54x = 284,509.14 × 121,292.06
  4. Step 4: Simplify right side
    206,169.54x = 34,508,699,679.43
  5. Step 5: Solve for x
    x = 34,508,699,679.43/206,169.54
  6. Step 6: Final answer
    x = 167,380.20

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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.