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Finding the Fourth Proportional to 269,119.20, 403,678.80 and 206,133.60

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Solution

The fourth proportional to 269,119.20, 403,678.80 and 206,133.60 is: 309,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,119.20 : 403,678.80 = 206,133.60 : x
  2. Step 2: Convert to fraction form
    269,119.20/403,678.80 = 206,133.60/x
  3. Step 3: Cross multiply
    269,119.20x = 403,678.80 × 206,133.60
  4. Step 4: Simplify right side
    269,119.20x = 83,211,764,287.68
  5. Step 5: Solve for x
    x = 83,211,764,287.68/269,119.20
  6. Step 6: Final answer
    x = 309,200.40

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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.