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Finding the Fourth Proportional to 201,175.20, 301,673.70 and 68,019.30

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Solution

The fourth proportional to 201,175.20, 301,673.70 and 68,019.30 is: 101,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,175.20 : 301,673.70 = 68,019.30 : x
  2. Step 2: Convert to fraction form
    201,175.20/301,673.70 = 68,019.30/x
  3. Step 3: Cross multiply
    201,175.20x = 301,673.70 × 68,019.30
  4. Step 4: Simplify right side
    201,175.20x = 20,519,633,902.41
  5. Step 5: Solve for x
    x = 20,519,633,902.41/201,175.20
  6. Step 6: Final answer
    x = 101,998.82

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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.