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Finding the Fourth Proportional to 122,884.93, 184,331.04 and 48,002.05

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Solution

The fourth proportional to 122,884.93, 184,331.04 and 48,002.05 is: 72,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,884.93 : 184,331.04 = 48,002.05 : x
  2. Step 2: Convert to fraction form
    122,884.93/184,331.04 = 48,002.05/x
  3. Step 3: Cross multiply
    122,884.93x = 184,331.04 × 48,002.05
  4. Step 4: Simplify right side
    122,884.93x = 8,848,267,798.63
  5. Step 5: Solve for x
    x = 8,848,267,798.63/122,884.93
  6. Step 6: Final answer
    x = 72,004.50

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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.