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Finding the Fourth Proportional to 122,853.34, 184,163.25 and 48,021.46

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Solution

The fourth proportional to 122,853.34, 184,163.25 and 48,021.46 is: 71,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,853.34 : 184,163.25 = 48,021.46 : x
  2. Step 2: Convert to fraction form
    122,853.34/184,163.25 = 48,021.46/x
  3. Step 3: Cross multiply
    122,853.34x = 184,163.25 × 48,021.46
  4. Step 4: Simplify right side
    122,853.34x = 8,843,788,143.35
  5. Step 5: Solve for x
    x = 8,843,788,143.35/122,853.34
  6. Step 6: Final answer
    x = 71,986.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.