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Finding the Fourth Proportional to 122,668, 184,002.72 and 48,847.84

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Solution

The fourth proportional to 122,668, 184,002.72 and 48,847.84 is: 73,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,668 : 184,002.72 = 48,847.84 : x
  2. Step 2: Convert to fraction form
    122,668/184,002.72 = 48,847.84/x
  3. Step 3: Cross multiply
    122,668x = 184,002.72 × 48,847.84
  4. Step 4: Simplify right side
    122,668x = 8,988,135,426.12
  5. Step 5: Solve for x
    x = 8,988,135,426.12/122,668
  6. Step 6: Final answer
    x = 73,272.05

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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.