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Finding the Fourth Proportional to 206,500.54, 309,783.21 and 88,172.50

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Solution

The fourth proportional to 206,500.54, 309,783.21 and 88,172.50 is: 132,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,500.54 : 309,783.21 = 88,172.50 : x
  2. Step 2: Convert to fraction form
    206,500.54/309,783.21 = 88,172.50/x
  3. Step 3: Cross multiply
    206,500.54x = 309,783.21 × 88,172.50
  4. Step 4: Simplify right side
    206,500.54x = 27,314,360,083.73
  5. Step 5: Solve for x
    x = 27,314,360,083.73/206,500.54
  6. Step 6: Final answer
    x = 132,272.58

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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.