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Finding the Fourth Proportional to 206,464.89, 309,668.18 and 66,205.29

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Solution

The fourth proportional to 206,464.89, 309,668.18 and 66,205.29 is: 99,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,464.89 : 309,668.18 = 66,205.29 : x
  2. Step 2: Convert to fraction form
    206,464.89/309,668.18 = 66,205.29/x
  3. Step 3: Cross multiply
    206,464.89x = 309,668.18 × 66,205.29
  4. Step 4: Simplify right side
    206,464.89x = 20,501,671,329.65
  5. Step 5: Solve for x
    x = 20,501,671,329.65/206,464.89
  6. Step 6: Final answer
    x = 99,298.58

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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.