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Finding the Fourth Proportional to 237,706.50, 327,976.25 and 140,933.06

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Solution

The fourth proportional to 237,706.50, 327,976.25 and 140,933.06 is: 194,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,706.50 : 327,976.25 = 140,933.06 : x
  2. Step 2: Convert to fraction form
    237,706.50/327,976.25 = 140,933.06/x
  3. Step 3: Cross multiply
    237,706.50x = 327,976.25 × 140,933.06
  4. Step 4: Simplify right side
    237,706.50x = 46,222,694,175.28
  5. Step 5: Solve for x
    x = 46,222,694,175.28/237,706.50
  6. Step 6: Final answer
    x = 194,452.80

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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.