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Finding the Fourth Proportional to 301,180.36, 415,634.45 and 165,221.26

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Solution

The fourth proportional to 301,180.36, 415,634.45 and 165,221.26 is: 228,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,180.36 : 415,634.45 = 165,221.26 : x
  2. Step 2: Convert to fraction form
    301,180.36/415,634.45 = 165,221.26/x
  3. Step 3: Cross multiply
    301,180.36x = 415,634.45 × 165,221.26
  4. Step 4: Simplify right side
    301,180.36x = 68,671,647,528.41
  5. Step 5: Solve for x
    x = 68,671,647,528.41/301,180.36
  6. Step 6: Final answer
    x = 228,008.39

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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.