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Finding the Fourth Proportional to 308,965.50, 463,451.09 and 121,977

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Solution

The fourth proportional to 308,965.50, 463,451.09 and 121,977 is: 182,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,965.50 : 463,451.09 = 121,977 : x
  2. Step 2: Convert to fraction form
    308,965.50/463,451.09 = 121,977/x
  3. Step 3: Cross multiply
    308,965.50x = 463,451.09 × 121,977
  4. Step 4: Simplify right side
    308,965.50x = 56,530,373,604.93
  5. Step 5: Solve for x
    x = 56,530,373,604.93/308,965.50
  6. Step 6: Final answer
    x = 182,966.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.