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Finding the Fourth Proportional to 206,645.20, 309,967.80 and 171,653.20

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Solution

The fourth proportional to 206,645.20, 309,967.80 and 171,653.20 is: 257,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,645.20 : 309,967.80 = 171,653.20 : x
  2. Step 2: Convert to fraction form
    206,645.20/309,967.80 = 171,653.20/x
  3. Step 3: Cross multiply
    206,645.20x = 309,967.80 × 171,653.20
  4. Step 4: Simplify right side
    206,645.20x = 53,206,964,766.96
  5. Step 5: Solve for x
    x = 53,206,964,766.96/206,645.20
  6. Step 6: Final answer
    x = 257,479.80

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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.