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Finding the Fourth Proportional to 209,441.84, 311,793.77 and 208,196.26

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Solution

The fourth proportional to 209,441.84, 311,793.77 and 208,196.26 is: 309,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,441.84 : 311,793.77 = 208,196.26 : x
  2. Step 2: Convert to fraction form
    209,441.84/311,793.77 = 208,196.26/x
  3. Step 3: Cross multiply
    209,441.84x = 311,793.77 × 208,196.26
  4. Step 4: Simplify right side
    209,441.84x = 64,914,296,546.31
  5. Step 5: Solve for x
    x = 64,914,296,546.31/209,441.84
  6. Step 6: Final answer
    x = 309,939.49

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Why These Related Problems?

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