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Finding the Fourth Proportional to 180,245.27, 270,364.97 and 73,605.80

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Solution

The fourth proportional to 180,245.27, 270,364.97 and 73,605.80 is: 110,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,245.27 : 270,364.97 = 73,605.80 : x
  2. Step 2: Convert to fraction form
    180,245.27/270,364.97 = 73,605.80/x
  3. Step 3: Cross multiply
    180,245.27x = 270,364.97 × 73,605.80
  4. Step 4: Simplify right side
    180,245.27x = 19,900,430,768.75
  5. Step 5: Solve for x
    x = 19,900,430,768.75/180,245.27
  6. Step 6: Final answer
    x = 110,407.50

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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.