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Finding the Fourth Proportional to 221,382.65, 332,319.82 and 114,738.05

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Solution

The fourth proportional to 221,382.65, 332,319.82 and 114,738.05 is: 172,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,382.65 : 332,319.82 = 114,738.05 : x
  2. Step 2: Convert to fraction form
    221,382.65/332,319.82 = 114,738.05/x
  3. Step 3: Cross multiply
    221,382.65x = 332,319.82 × 114,738.05
  4. Step 4: Simplify right side
    221,382.65x = 38,129,729,290.21
  5. Step 5: Solve for x
    x = 38,129,729,290.21/221,382.65
  6. Step 6: Final answer
    x = 172,234.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.