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Finding the Fourth Proportional to 209,442.84, 311,795.26 and 208,197.26

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Solution

The fourth proportional to 209,442.84, 311,795.26 and 208,197.26 is: 309,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,442.84 : 311,795.26 = 208,197.26 : x
  2. Step 2: Convert to fraction form
    209,442.84/311,795.26 = 208,197.26/x
  3. Step 3: Cross multiply
    209,442.84x = 311,795.26 × 208,197.26
  4. Step 4: Simplify right side
    209,442.84x = 64,914,918,812.99
  5. Step 5: Solve for x
    x = 64,914,918,812.99/209,442.84
  6. Step 6: Final answer
    x = 309,940.98

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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.