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Finding the Fourth Proportional to 308,067, 462,100.50 and 111,075

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Solution

The fourth proportional to 308,067, 462,100.50 and 111,075 is: 166,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,067 : 462,100.50 = 111,075 : x
  2. Step 2: Convert to fraction form
    308,067/462,100.50 = 111,075/x
  3. Step 3: Cross multiply
    308,067x = 462,100.50 × 111,075
  4. Step 4: Simplify right side
    308,067x = 51,327,813,037.50
  5. Step 5: Solve for x
    x = 51,327,813,037.50/308,067
  6. Step 6: Final answer
    x = 166,612.50

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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.