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Finding the Fourth Proportional to 195,144.94, 269,201.37 and 130,616.86

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Solution

The fourth proportional to 195,144.94, 269,201.37 and 130,616.86 is: 180,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,144.94 : 269,201.37 = 130,616.86 : x
  2. Step 2: Convert to fraction form
    195,144.94/269,201.37 = 130,616.86/x
  3. Step 3: Cross multiply
    195,144.94x = 269,201.37 × 130,616.86
  4. Step 4: Simplify right side
    195,144.94x = 35,162,237,657.10
  5. Step 5: Solve for x
    x = 35,162,237,657.10/195,144.94
  6. Step 6: Final answer
    x = 180,185.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.