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Finding the Fourth Proportional to 122,968.80, 184,453.20 and 112,471.20

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Solution

The fourth proportional to 122,968.80, 184,453.20 and 112,471.20 is: 168,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,968.80 : 184,453.20 = 112,471.20 : x
  2. Step 2: Convert to fraction form
    122,968.80/184,453.20 = 112,471.20/x
  3. Step 3: Cross multiply
    122,968.80x = 184,453.20 × 112,471.20
  4. Step 4: Simplify right side
    122,968.80x = 20,745,672,747.84
  5. Step 5: Solve for x
    x = 20,745,672,747.84/122,968.80
  6. Step 6: Final answer
    x = 168,706.80

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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.