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Finding the Fourth Proportional to 206,196.72, 309,414.12 and 111,427.20

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Solution

The fourth proportional to 206,196.72, 309,414.12 and 111,427.20 is: 167,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,196.72 : 309,414.12 = 111,427.20 : x
  2. Step 2: Convert to fraction form
    206,196.72/309,414.12 = 111,427.20/x
  3. Step 3: Cross multiply
    206,196.72x = 309,414.12 × 111,427.20
  4. Step 4: Simplify right side
    206,196.72x = 34,477,149,032.06
  5. Step 5: Solve for x
    x = 34,477,149,032.06/206,196.72
  6. Step 6: Final answer
    x = 167,205.13

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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.