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Finding the Fourth Proportional to 206,582.20, 309,873.30 and 206,582.20

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Solution

The fourth proportional to 206,582.20, 309,873.30 and 206,582.20 is: 309,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,582.20 : 309,873.30 = 206,582.20 : x
  2. Step 2: Convert to fraction form
    206,582.20/309,873.30 = 206,582.20/x
  3. Step 3: Cross multiply
    206,582.20x = 309,873.30 × 206,582.20
  4. Step 4: Simplify right side
    206,582.20x = 64,014,308,035.26
  5. Step 5: Solve for x
    x = 64,014,308,035.26/206,582.20
  6. Step 6: Final answer
    x = 309,873.30

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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.