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Finding the Fourth Proportional to 180,251, 270,539 and 96,081.26

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Solution

The fourth proportional to 180,251, 270,539 and 96,081.26 is: 144,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,251 : 270,539 = 96,081.26 : x
  2. Step 2: Convert to fraction form
    180,251/270,539 = 96,081.26/x
  3. Step 3: Cross multiply
    180,251x = 270,539 × 96,081.26
  4. Step 4: Simplify right side
    180,251x = 25,993,727,999.14
  5. Step 5: Solve for x
    x = 25,993,727,999.14/180,251
  6. Step 6: Final answer
    x = 144,208.51

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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.