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Finding the Fourth Proportional to 200,771.63, 301,185.23 and 67,689.95

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Solution

The fourth proportional to 200,771.63, 301,185.23 and 67,689.95 is: 101,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771.63 : 301,185.23 = 67,689.95 : x
  2. Step 2: Convert to fraction form
    200,771.63/301,185.23 = 67,689.95/x
  3. Step 3: Cross multiply
    200,771.63x = 301,185.23 × 67,689.95
  4. Step 4: Simplify right side
    200,771.63x = 20,387,211,315.06
  5. Step 5: Solve for x
    x = 20,387,211,315.06/200,771.63
  6. Step 6: Final answer
    x = 101,544.28

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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.