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Finding the Fourth Proportional to 200,795.88, 301,194.87 and 67,677.30

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Solution

The fourth proportional to 200,795.88, 301,194.87 and 67,677.30 is: 101,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,795.88 : 301,194.87 = 67,677.30 : x
  2. Step 2: Convert to fraction form
    200,795.88/301,194.87 = 67,677.30/x
  3. Step 3: Cross multiply
    200,795.88x = 301,194.87 × 67,677.30
  4. Step 4: Simplify right side
    200,795.88x = 20,384,055,575.45
  5. Step 5: Solve for x
    x = 20,384,055,575.45/200,795.88
  6. Step 6: Final answer
    x = 101,516.30

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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.