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Finding the Fourth Proportional to 180,469.95, 270,652.37 and 54,105.15

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Solution

The fourth proportional to 180,469.95, 270,652.37 and 54,105.15 is: 81,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.95 : 270,652.37 = 54,105.15 : x
  2. Step 2: Convert to fraction form
    180,469.95/270,652.37 = 54,105.15/x
  3. Step 3: Cross multiply
    180,469.95x = 270,652.37 × 54,105.15
  4. Step 4: Simplify right side
    180,469.95x = 14,643,686,806.18
  5. Step 5: Solve for x
    x = 14,643,686,806.18/180,469.95
  6. Step 6: Final answer
    x = 81,141.97

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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.