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Finding the Fourth Proportional to 221,771.57, 306,180.38 and 144,321.01

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Solution

The fourth proportional to 221,771.57, 306,180.38 and 144,321.01 is: 199,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,771.57 : 306,180.38 = 144,321.01 : x
  2. Step 2: Convert to fraction form
    221,771.57/306,180.38 = 144,321.01/x
  3. Step 3: Cross multiply
    221,771.57x = 306,180.38 × 144,321.01
  4. Step 4: Simplify right side
    221,771.57x = 44,188,261,279.14
  5. Step 5: Solve for x
    x = 44,188,261,279.14/221,771.57
  6. Step 6: Final answer
    x = 199,251.25

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Why These Related Problems?

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