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Finding the Fourth Proportional to 180,635.80, 270,662.10 and 113,956.60

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Solution

The fourth proportional to 180,635.80, 270,662.10 and 113,956.60 is: 170,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,635.80 : 270,662.10 = 113,956.60 : x
  2. Step 2: Convert to fraction form
    180,635.80/270,662.10 = 113,956.60/x
  3. Step 3: Cross multiply
    180,635.80x = 270,662.10 × 113,956.60
  4. Step 4: Simplify right side
    180,635.80x = 30,843,732,664.86
  5. Step 5: Solve for x
    x = 30,843,732,664.86/180,635.80
  6. Step 6: Final answer
    x = 170,750.94

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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.