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Finding the Fourth Proportional to 200,967.55, 301,448.23 and 67,941.25

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Solution

The fourth proportional to 200,967.55, 301,448.23 and 67,941.25 is: 101,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967.55 : 301,448.23 = 67,941.25 : x
  2. Step 2: Convert to fraction form
    200,967.55/301,448.23 = 67,941.25/x
  3. Step 3: Cross multiply
    200,967.55x = 301,448.23 × 67,941.25
  4. Step 4: Simplify right side
    200,967.55x = 20,480,769,556.49
  5. Step 5: Solve for x
    x = 20,480,769,556.49/200,967.55
  6. Step 6: Final answer
    x = 101,910.83

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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.