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Finding the Fourth Proportional to 206,496.54, 309,777.21 and 88,168.50

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Solution

The fourth proportional to 206,496.54, 309,777.21 and 88,168.50 is: 132,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,496.54 : 309,777.21 = 88,168.50 : x
  2. Step 2: Convert to fraction form
    206,496.54/309,777.21 = 88,168.50/x
  3. Step 3: Cross multiply
    206,496.54x = 309,777.21 × 88,168.50
  4. Step 4: Simplify right side
    206,496.54x = 27,312,591,939.89
  5. Step 5: Solve for x
    x = 27,312,591,939.89/206,496.54
  6. Step 6: Final answer
    x = 132,266.58

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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.