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Finding the Fourth Proportional to 180,147.78, 270,260.26 and 53,797.98

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Solution

The fourth proportional to 180,147.78, 270,260.26 and 53,797.98 is: 80,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,147.78 : 270,260.26 = 53,797.98 : x
  2. Step 2: Convert to fraction form
    180,147.78/270,260.26 = 53,797.98/x
  3. Step 3: Cross multiply
    180,147.78x = 270,260.26 × 53,797.98
  4. Step 4: Simplify right side
    180,147.78x = 14,539,456,062.27
  5. Step 5: Solve for x
    x = 14,539,456,062.27/180,147.78
  6. Step 6: Final answer
    x = 80,708.49

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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.