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Finding the Fourth Proportional to 301,265.22, 415,745.77 and 165,300.03

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Solution

The fourth proportional to 301,265.22, 415,745.77 and 165,300.03 is: 228,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,265.22 : 415,745.77 = 165,300.03 : x
  2. Step 2: Convert to fraction form
    301,265.22/415,745.77 = 165,300.03/x
  3. Step 3: Cross multiply
    301,265.22x = 415,745.77 × 165,300.03
  4. Step 4: Simplify right side
    301,265.22x = 68,722,788,253.37
  5. Step 5: Solve for x
    x = 68,722,788,253.37/301,265.22
  6. Step 6: Final answer
    x = 228,113.91

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