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Finding the Fourth Proportional to 221,738.48, 305,999 and 119,763.92

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Solution

The fourth proportional to 221,738.48, 305,999 and 119,763.92 is: 165,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,738.48 : 305,999 = 119,763.92 : x
  2. Step 2: Convert to fraction form
    221,738.48/305,999 = 119,763.92/x
  3. Step 3: Cross multiply
    221,738.48x = 305,999 × 119,763.92
  4. Step 4: Simplify right side
    221,738.48x = 36,647,639,756.08
  5. Step 5: Solve for x
    x = 36,647,639,756.08/221,738.48
  6. Step 6: Final answer
    x = 165,274.15

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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.