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Finding the Fourth Proportional to 301,202.37, 415,645.50 and 165,233.39

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Solution

The fourth proportional to 301,202.37, 415,645.50 and 165,233.39 is: 228,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,202.37 : 415,645.50 = 165,233.39 : x
  2. Step 2: Convert to fraction form
    301,202.37/415,645.50 = 165,233.39/x
  3. Step 3: Cross multiply
    301,202.37x = 415,645.50 × 165,233.39
  4. Step 4: Simplify right side
    301,202.37x = 68,678,515,003.25
  5. Step 5: Solve for x
    x = 68,678,515,003.25/301,202.37
  6. Step 6: Final answer
    x = 228,014.52

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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.