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Finding the Fourth Proportional to 193,825.83, 290,738.83 and 60,716.43

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Solution

The fourth proportional to 193,825.83, 290,738.83 and 60,716.43 is: 91,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,825.83 : 290,738.83 = 60,716.43 : x
  2. Step 2: Convert to fraction form
    193,825.83/290,738.83 = 60,716.43/x
  3. Step 3: Cross multiply
    193,825.83x = 290,738.83 × 60,716.43
  4. Step 4: Simplify right side
    193,825.83x = 17,652,624,243.24
  5. Step 5: Solve for x
    x = 17,652,624,243.24/193,825.83
  6. Step 6: Final answer
    x = 91,074.67

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Why These Related Problems?

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