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Finding the Fourth Proportional to 206,166.82, 309,369.16 and 111,397.26

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Solution

The fourth proportional to 206,166.82, 309,369.16 and 111,397.26 is: 167,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.82 : 309,369.16 = 111,397.26 : x
  2. Step 2: Convert to fraction form
    206,166.82/309,369.16 = 111,397.26/x
  3. Step 3: Cross multiply
    206,166.82x = 309,369.16 × 111,397.26
  4. Step 4: Simplify right side
    206,166.82x = 34,462,876,752.50
  5. Step 5: Solve for x
    x = 34,462,876,752.50/206,166.82
  6. Step 6: Final answer
    x = 167,160.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.