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Finding the Fourth Proportional to 209,444.09, 311,797.13 and 208,198.52

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Solution

The fourth proportional to 209,444.09, 311,797.13 and 208,198.52 is: 309,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,444.09 : 311,797.13 = 208,198.52 : x
  2. Step 2: Convert to fraction form
    209,444.09/311,797.13 = 208,198.52/x
  3. Step 3: Cross multiply
    209,444.09x = 311,797.13 × 208,198.52
  4. Step 4: Simplify right side
    209,444.09x = 64,915,698,406.27
  5. Step 5: Solve for x
    x = 64,915,698,406.27/209,444.09
  6. Step 6: Final answer
    x = 309,942.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.