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Finding the Fourth Proportional to 206,347.86, 309,609.27 and 112,744.26

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Solution

The fourth proportional to 206,347.86, 309,609.27 and 112,744.26 is: 169,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.86 : 309,609.27 = 112,744.26 : x
  2. Step 2: Convert to fraction form
    206,347.86/309,609.27 = 112,744.26/x
  3. Step 3: Cross multiply
    206,347.86x = 309,609.27 × 112,744.26
  4. Step 4: Simplify right side
    206,347.86x = 34,906,668,035.29
  5. Step 5: Solve for x
    x = 34,906,668,035.29/206,347.86
  6. Step 6: Final answer
    x = 169,164.19

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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.