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Finding the Fourth Proportional to 227,470.08, 340,796.48 and 133,924.80

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Solution

The fourth proportional to 227,470.08, 340,796.48 and 133,924.80 is: 200,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,470.08 : 340,796.48 = 133,924.80 : x
  2. Step 2: Convert to fraction form
    227,470.08/340,796.48 = 133,924.80/x
  3. Step 3: Cross multiply
    227,470.08x = 340,796.48 × 133,924.80
  4. Step 4: Simplify right side
    227,470.08x = 45,641,100,424.70
  5. Step 5: Solve for x
    x = 45,641,100,424.70/227,470.08
  6. Step 6: Final answer
    x = 200,646.61

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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.