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Finding the Fourth Proportional to 140,990.40, 194,464.80 and 119,736

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Solution

The fourth proportional to 140,990.40, 194,464.80 and 119,736 is: 165,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,990.40 : 194,464.80 = 119,736 : x
  2. Step 2: Convert to fraction form
    140,990.40/194,464.80 = 119,736/x
  3. Step 3: Cross multiply
    140,990.40x = 194,464.80 × 119,736
  4. Step 4: Simplify right side
    140,990.40x = 23,284,437,292.80
  5. Step 5: Solve for x
    x = 23,284,437,292.80/140,990.40
  6. Step 6: Final answer
    x = 165,149.10

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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.