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Finding the Fourth Proportional to 269,065.43, 403,321.19 and 119,376.21

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Solution

The fourth proportional to 269,065.43, 403,321.19 and 119,376.21 is: 178,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,065.43 : 403,321.19 = 119,376.21 : x
  2. Step 2: Convert to fraction form
    269,065.43/403,321.19 = 119,376.21/x
  3. Step 3: Cross multiply
    269,065.43x = 403,321.19 × 119,376.21
  4. Step 4: Simplify right side
    269,065.43x = 48,146,954,478.01
  5. Step 5: Solve for x
    x = 48,146,954,478.01/269,065.43
  6. Step 6: Final answer
    x = 178,941.44

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Why These Related Problems?

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