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Finding the Fourth Proportional to 194,596.30, 291,806.74 and 82,218.67

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Solution

The fourth proportional to 194,596.30, 291,806.74 and 82,218.67 is: 123,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,596.30 : 291,806.74 = 82,218.67 : x
  2. Step 2: Convert to fraction form
    194,596.30/291,806.74 = 82,218.67/x
  3. Step 3: Cross multiply
    194,596.30x = 291,806.74 × 82,218.67
  4. Step 4: Simplify right side
    194,596.30x = 23,991,962,138.18
  5. Step 5: Solve for x
    x = 23,991,962,138.18/194,596.30
  6. Step 6: Final answer
    x = 123,290.95

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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.