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Finding the Fourth Proportional to 206,819.35, 289,940.75 and 206,819.35

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Solution

The fourth proportional to 206,819.35, 289,940.75 and 206,819.35 is: 289,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,819.35 : 289,940.75 = 206,819.35 : x
  2. Step 2: Convert to fraction form
    206,819.35/289,940.75 = 206,819.35/x
  3. Step 3: Cross multiply
    206,819.35x = 289,940.75 × 206,819.35
  4. Step 4: Simplify right side
    206,819.35x = 59,965,357,453.51
  5. Step 5: Solve for x
    x = 59,965,357,453.51/206,819.35
  6. Step 6: Final answer
    x = 289,940.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.