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Finding the Fourth Proportional to 206,119.98, 309,177.48 and 116,169.48

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Solution

The fourth proportional to 206,119.98, 309,177.48 and 116,169.48 is: 174,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,119.98 : 309,177.48 = 116,169.48 : x
  2. Step 2: Convert to fraction form
    206,119.98/309,177.48 = 116,169.48/x
  3. Step 3: Cross multiply
    206,119.98x = 309,177.48 × 116,169.48
  4. Step 4: Simplify right side
    206,119.98x = 35,916,987,079.31
  5. Step 5: Solve for x
    x = 35,916,987,079.31/206,119.98
  6. Step 6: Final answer
    x = 174,252.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.