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Finding the Fourth Proportional to 200,885.67, 301,329.72 and 67,767.23

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Solution

The fourth proportional to 200,885.67, 301,329.72 and 67,767.23 is: 101,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,885.67 : 301,329.72 = 67,767.23 : x
  2. Step 2: Convert to fraction form
    200,885.67/301,329.72 = 67,767.23/x
  3. Step 3: Cross multiply
    200,885.67x = 301,329.72 × 67,767.23
  4. Step 4: Simplify right side
    200,885.67x = 20,420,281,194.40
  5. Step 5: Solve for x
    x = 20,420,281,194.40/200,885.67
  6. Step 6: Final answer
    x = 101,651.26

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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.