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Finding the Fourth Proportional to 200,812.26, 301,219.42 and 67,693.66

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Solution

The fourth proportional to 200,812.26, 301,219.42 and 67,693.66 is: 101,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,812.26 : 301,219.42 = 67,693.66 : x
  2. Step 2: Convert to fraction form
    200,812.26/301,219.42 = 67,693.66/x
  3. Step 3: Cross multiply
    200,812.26x = 301,219.42 × 67,693.66
  4. Step 4: Simplify right side
    200,812.26x = 20,390,645,002.88
  5. Step 5: Solve for x
    x = 20,390,645,002.88/200,812.26
  6. Step 6: Final answer
    x = 101,540.84

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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.