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Finding the Fourth Proportional to 180,422.37, 270,634.68 and 47,301.43

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Solution

The fourth proportional to 180,422.37, 270,634.68 and 47,301.43 is: 70,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,422.37 : 270,634.68 = 47,301.43 : x
  2. Step 2: Convert to fraction form
    180,422.37/270,634.68 = 47,301.43/x
  3. Step 3: Cross multiply
    180,422.37x = 270,634.68 × 47,301.43
  4. Step 4: Simplify right side
    180,422.37x = 12,801,407,135.09
  5. Step 5: Solve for x
    x = 12,801,407,135.09/180,422.37
  6. Step 6: Final answer
    x = 70,952.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.