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Finding the Fourth Proportional to 194,438.20, 268,324.74 and 105,014.20

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Solution

The fourth proportional to 194,438.20, 268,324.74 and 105,014.20 is: 144,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,438.20 : 268,324.74 = 105,014.20 : x
  2. Step 2: Convert to fraction form
    194,438.20/268,324.74 = 105,014.20/x
  3. Step 3: Cross multiply
    194,438.20x = 268,324.74 × 105,014.20
  4. Step 4: Simplify right side
    194,438.20x = 28,177,907,911.31
  5. Step 5: Solve for x
    x = 28,177,907,911.31/194,438.20
  6. Step 6: Final answer
    x = 144,919.61

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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.