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Finding the Fourth Proportional to 209,961.75, 314,974.35 and 67,759.50

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Solution

The fourth proportional to 209,961.75, 314,974.35 and 67,759.50 is: 101,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,961.75 : 314,974.35 = 67,759.50 : x
  2. Step 2: Convert to fraction form
    209,961.75/314,974.35 = 67,759.50/x
  3. Step 3: Cross multiply
    209,961.75x = 314,974.35 × 67,759.50
  4. Step 4: Simplify right side
    209,961.75x = 21,342,504,468.83
  5. Step 5: Solve for x
    x = 21,342,504,468.83/209,961.75
  6. Step 6: Final answer
    x = 101,649.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.