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Finding the Fourth Proportional to 122,700.62, 184,023.56 and 47,822.78

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Solution

The fourth proportional to 122,700.62, 184,023.56 and 47,822.78 is: 71,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,700.62 : 184,023.56 = 47,822.78 : x
  2. Step 2: Convert to fraction form
    122,700.62/184,023.56 = 47,822.78/x
  3. Step 3: Cross multiply
    122,700.62x = 184,023.56 × 47,822.78
  4. Step 4: Simplify right side
    122,700.62x = 8,800,518,224.70
  5. Step 5: Solve for x
    x = 8,800,518,224.70/122,700.62
  6. Step 6: Final answer
    x = 71,723.50

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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.