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Finding the Fourth Proportional to 206,069.18, 309,192.66 and 111,280.50

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Solution

The fourth proportional to 206,069.18, 309,192.66 and 111,280.50 is: 166,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,069.18 : 309,192.66 = 111,280.50 : x
  2. Step 2: Convert to fraction form
    206,069.18/309,192.66 = 111,280.50/x
  3. Step 3: Cross multiply
    206,069.18x = 309,192.66 × 111,280.50
  4. Step 4: Simplify right side
    206,069.18x = 34,407,113,801.13
  5. Step 5: Solve for x
    x = 34,407,113,801.13/206,069.18
  6. Step 6: Final answer
    x = 166,968.76

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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.