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Finding the Fourth Proportional to 200,770.50, 301,183.54 and 67,688.81

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Solution

The fourth proportional to 200,770.50, 301,183.54 and 67,688.81 is: 101,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.50 : 301,183.54 = 67,688.81 : x
  2. Step 2: Convert to fraction form
    200,770.50/301,183.54 = 67,688.81/x
  3. Step 3: Cross multiply
    200,770.50x = 301,183.54 × 67,688.81
  4. Step 4: Simplify right side
    200,770.50x = 20,386,756,753.02
  5. Step 5: Solve for x
    x = 20,386,756,753.02/200,770.50
  6. Step 6: Final answer
    x = 101,542.59

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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.