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Finding the Fourth Proportional to 308,066, 462,099 and 111,074

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Solution

The fourth proportional to 308,066, 462,099 and 111,074 is: 166,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,066 : 462,099 = 111,074 : x
  2. Step 2: Convert to fraction form
    308,066/462,099 = 111,074/x
  3. Step 3: Cross multiply
    308,066x = 462,099 × 111,074
  4. Step 4: Simplify right side
    308,066x = 51,327,184,326
  5. Step 5: Solve for x
    x = 51,327,184,326/308,066
  6. Step 6: Final answer
    x = 166,611

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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.