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Finding the Fourth Proportional to 122,980.80, 184,471.20 and 109,202.70

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Solution

The fourth proportional to 122,980.80, 184,471.20 and 109,202.70 is: 163,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,980.80 : 184,471.20 = 109,202.70 : x
  2. Step 2: Convert to fraction form
    122,980.80/184,471.20 = 109,202.70/x
  3. Step 3: Cross multiply
    122,980.80x = 184,471.20 × 109,202.70
  4. Step 4: Simplify right side
    122,980.80x = 20,144,753,112.24
  5. Step 5: Solve for x
    x = 20,144,753,112.24/122,980.80
  6. Step 6: Final answer
    x = 163,804.05

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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.