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Finding the Fourth Proportional to 209,422.54, 311,765.20 and 208,177

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Solution

The fourth proportional to 209,422.54, 311,765.20 and 208,177 is: 309,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,422.54 : 311,765.20 = 208,177 : x
  2. Step 2: Convert to fraction form
    209,422.54/311,765.20 = 208,177/x
  3. Step 3: Cross multiply
    209,422.54x = 311,765.20 × 208,177
  4. Step 4: Simplify right side
    209,422.54x = 64,902,344,040.40
  5. Step 5: Solve for x
    x = 64,902,344,040.40/209,422.54
  6. Step 6: Final answer
    x = 309,910.98

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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.