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Finding the Fourth Proportional to 206,139.60, 309,209.40 and 101,163.60

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Solution

The fourth proportional to 206,139.60, 309,209.40 and 101,163.60 is: 151,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,139.60 : 309,209.40 = 101,163.60 : x
  2. Step 2: Convert to fraction form
    206,139.60/309,209.40 = 101,163.60/x
  3. Step 3: Cross multiply
    206,139.60x = 309,209.40 × 101,163.60
  4. Step 4: Simplify right side
    206,139.60x = 31,280,736,057.84
  5. Step 5: Solve for x
    x = 31,280,736,057.84/206,139.60
  6. Step 6: Final answer
    x = 151,745.40

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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.