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Finding the Fourth Proportional to 300,942, 415,300.02 and 166,806

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Solution

The fourth proportional to 300,942, 415,300.02 and 166,806 is: 230,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,942 : 415,300.02 = 166,806 : x
  2. Step 2: Convert to fraction form
    300,942/415,300.02 = 166,806/x
  3. Step 3: Cross multiply
    300,942x = 415,300.02 × 166,806
  4. Step 4: Simplify right side
    300,942x = 69,274,535,136.12
  5. Step 5: Solve for x
    x = 69,274,535,136.12/300,942
  6. Step 6: Final answer
    x = 230,192.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.