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Finding the Fourth Proportional to 200,797.45, 301,197.22 and 67,678.86

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Solution

The fourth proportional to 200,797.45, 301,197.22 and 67,678.86 is: 101,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.45 : 301,197.22 = 67,678.86 : x
  2. Step 2: Convert to fraction form
    200,797.45/301,197.22 = 67,678.86/x
  3. Step 3: Cross multiply
    200,797.45x = 301,197.22 × 67,678.86
  4. Step 4: Simplify right side
    200,797.45x = 20,384,684,315.57
  5. Step 5: Solve for x
    x = 20,384,684,315.57/200,797.45
  6. Step 6: Final answer
    x = 101,518.64

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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.