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Finding the Fourth Proportional to 180,081.34, 270,355.29 and 113,654.86

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Solution

The fourth proportional to 180,081.34, 270,355.29 and 113,654.86 is: 170,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,081.34 : 270,355.29 = 113,654.86 : x
  2. Step 2: Convert to fraction form
    180,081.34/270,355.29 = 113,654.86/x
  3. Step 3: Cross multiply
    180,081.34x = 270,355.29 × 113,654.86
  4. Step 4: Simplify right side
    180,081.34x = 30,727,192,635.21
  5. Step 5: Solve for x
    x = 30,727,192,635.21/180,081.34
  6. Step 6: Final answer
    x = 170,629.52

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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.