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Finding the Fourth Proportional to 180,766.08, 270,796.23 and 85,861.22

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Solution

The fourth proportional to 180,766.08, 270,796.23 and 85,861.22 is: 128,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,766.08 : 270,796.23 = 85,861.22 : x
  2. Step 2: Convert to fraction form
    180,766.08/270,796.23 = 85,861.22/x
  3. Step 3: Cross multiply
    180,766.08x = 270,796.23 × 85,861.22
  4. Step 4: Simplify right side
    180,766.08x = 23,250,893,325.22
  5. Step 5: Solve for x
    x = 23,250,893,325.22/180,766.08
  6. Step 6: Final answer
    x = 128,624.20

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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.