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Finding the Fourth Proportional to 301,076.52, 415,504.26 and 166,940.52

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Solution

The fourth proportional to 301,076.52, 415,504.26 and 166,940.52 is: 230,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,076.52 : 415,504.26 = 166,940.52 : x
  2. Step 2: Convert to fraction form
    301,076.52/415,504.26 = 166,940.52/x
  3. Step 3: Cross multiply
    301,076.52x = 415,504.26 × 166,940.52
  4. Step 4: Simplify right side
    301,076.52x = 69,364,497,226.62
  5. Step 5: Solve for x
    x = 69,364,497,226.62/301,076.52
  6. Step 6: Final answer
    x = 230,388.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.