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Finding the Fourth Proportional to 237,706.62, 327,846.16 and 202,014.78

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Solution

The fourth proportional to 237,706.62, 327,846.16 and 202,014.78 is: 278,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,706.62 : 327,846.16 = 202,014.78 : x
  2. Step 2: Convert to fraction form
    237,706.62/327,846.16 = 202,014.78/x
  3. Step 3: Cross multiply
    237,706.62x = 327,846.16 × 202,014.78
  4. Step 4: Simplify right side
    237,706.62x = 66,229,769,886.24
  5. Step 5: Solve for x
    x = 66,229,769,886.24/237,706.62
  6. Step 6: Final answer
    x = 278,619.80

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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.