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Finding the Fourth Proportional to 308,064, 462,096 and 111,072

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Solution

The fourth proportional to 308,064, 462,096 and 111,072 is: 166,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,064 : 462,096 = 111,072 : x
  2. Step 2: Convert to fraction form
    308,064/462,096 = 111,072/x
  3. Step 3: Cross multiply
    308,064x = 462,096 × 111,072
  4. Step 4: Simplify right side
    308,064x = 51,325,926,912
  5. Step 5: Solve for x
    x = 51,325,926,912/308,064
  6. Step 6: Final answer
    x = 166,608

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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.