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Finding the Fourth Proportional to 122,996.80, 184,441.20 and 56,414.80

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Solution

The fourth proportional to 122,996.80, 184,441.20 and 56,414.80 is: 84,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,996.80 : 184,441.20 = 56,414.80 : x
  2. Step 2: Convert to fraction form
    122,996.80/184,441.20 = 56,414.80/x
  3. Step 3: Cross multiply
    122,996.80x = 184,441.20 × 56,414.80
  4. Step 4: Simplify right side
    122,996.80x = 10,405,213,409.76
  5. Step 5: Solve for x
    x = 10,405,213,409.76/122,996.80
  6. Step 6: Final answer
    x = 84,597.43

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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.