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Finding the Fourth Proportional to 206,269.89, 309,483.36 and 106,366.29

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Solution

The fourth proportional to 206,269.89, 309,483.36 and 106,366.29 is: 159,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,269.89 : 309,483.36 = 106,366.29 : x
  2. Step 2: Convert to fraction form
    206,269.89/309,483.36 = 106,366.29/x
  3. Step 3: Cross multiply
    206,269.89x = 309,483.36 × 106,366.29
  4. Step 4: Simplify right side
    206,269.89x = 32,918,596,819.93
  5. Step 5: Solve for x
    x = 32,918,596,819.93/206,269.89
  6. Step 6: Final answer
    x = 159,589.93

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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.