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Finding the Fourth Proportional to 165,209.49, 247,814.46 and 40,550.49

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Solution

The fourth proportional to 165,209.49, 247,814.46 and 40,550.49 is: 60,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,209.49 : 247,814.46 = 40,550.49 : x
  2. Step 2: Convert to fraction form
    165,209.49/247,814.46 = 40,550.49/x
  3. Step 3: Cross multiply
    165,209.49x = 247,814.46 × 40,550.49
  4. Step 4: Simplify right side
    165,209.49x = 10,048,997,782.09
  5. Step 5: Solve for x
    x = 10,048,997,782.09/165,209.49
  6. Step 6: Final answer
    x = 60,825.79

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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.