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Finding the Fourth Proportional to 122,853.84, 184,164 and 48,021.96

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Solution

The fourth proportional to 122,853.84, 184,164 and 48,021.96 is: 71,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,853.84 : 184,164 = 48,021.96 : x
  2. Step 2: Convert to fraction form
    122,853.84/184,164 = 48,021.96/x
  3. Step 3: Cross multiply
    122,853.84x = 184,164 × 48,021.96
  4. Step 4: Simplify right side
    122,853.84x = 8,843,916,241.44
  5. Step 5: Solve for x
    x = 8,843,916,241.44/122,853.84
  6. Step 6: Final answer
    x = 71,987.30

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Why These Related Problems?

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