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Finding the Fourth Proportional to 492,198.85, 738,314.75 and 137,183.14

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Solution

The fourth proportional to 492,198.85, 738,314.75 and 137,183.14 is: 205,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,198.85 : 738,314.75 = 137,183.14 : x
  2. Step 2: Convert to fraction form
    492,198.85/738,314.75 = 137,183.14/x
  3. Step 3: Cross multiply
    492,198.85x = 738,314.75 × 137,183.14
  4. Step 4: Simplify right side
    492,198.85x = 101,284,335,713.32
  5. Step 5: Solve for x
    x = 101,284,335,713.32/492,198.85
  6. Step 6: Final answer
    x = 205,779.30

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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.