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Finding the Fourth Proportional to 308,107.29, 462,334.99 and 165,949.56

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Solution

The fourth proportional to 308,107.29, 462,334.99 and 165,949.56 is: 249,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,107.29 : 462,334.99 = 165,949.56 : x
  2. Step 2: Convert to fraction form
    308,107.29/462,334.99 = 165,949.56/x
  3. Step 3: Cross multiply
    308,107.29x = 462,334.99 × 165,949.56
  4. Step 4: Simplify right side
    308,107.29x = 76,724,288,059.39
  5. Step 5: Solve for x
    x = 76,724,288,059.39/308,107.29
  6. Step 6: Final answer
    x = 249,018.08

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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.