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Finding the Fourth Proportional to 200,961.54, 301,449.60 and 67,846.14

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Solution

The fourth proportional to 200,961.54, 301,449.60 and 67,846.14 is: 101,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961.54 : 301,449.60 = 67,846.14 : x
  2. Step 2: Convert to fraction form
    200,961.54/301,449.60 = 67,846.14/x
  3. Step 3: Cross multiply
    200,961.54x = 301,449.60 × 67,846.14
  4. Step 4: Simplify right side
    200,961.54x = 20,452,191,764.54
  5. Step 5: Solve for x
    x = 20,452,191,764.54/200,961.54
  6. Step 6: Final answer
    x = 101,771.67

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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.