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Finding the Fourth Proportional to 122,767.86, 184,155.34 and 47,884.98

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Solution

The fourth proportional to 122,767.86, 184,155.34 and 47,884.98 is: 71,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,767.86 : 184,155.34 = 47,884.98 : x
  2. Step 2: Convert to fraction form
    122,767.86/184,155.34 = 47,884.98/x
  3. Step 3: Cross multiply
    122,767.86x = 184,155.34 × 47,884.98
  4. Step 4: Simplify right side
    122,767.86x = 8,818,274,772.79
  5. Step 5: Solve for x
    x = 8,818,274,772.79/122,767.86
  6. Step 6: Final answer
    x = 71,828.85

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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.