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Finding the Fourth Proportional to 209,435.27, 311,783.99 and 208,189.69

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Solution

The fourth proportional to 209,435.27, 311,783.99 and 208,189.69 is: 309,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.27 : 311,783.99 = 208,189.69 : x
  2. Step 2: Convert to fraction form
    209,435.27/311,783.99 = 208,189.69/x
  3. Step 3: Cross multiply
    209,435.27x = 311,783.99 × 208,189.69
  4. Step 4: Simplify right side
    209,435.27x = 64,910,210,404.65
  5. Step 5: Solve for x
    x = 64,910,210,404.65/209,435.27
  6. Step 6: Final answer
    x = 309,929.71

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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.