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Finding the Fourth Proportional to 308,575.35, 462,873.25 and 106,169.51

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Solution

The fourth proportional to 308,575.35, 462,873.25 and 106,169.51 is: 159,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,575.35 : 462,873.25 = 106,169.51 : x
  2. Step 2: Convert to fraction form
    308,575.35/462,873.25 = 106,169.51/x
  3. Step 3: Cross multiply
    308,575.35x = 462,873.25 × 106,169.51
  4. Step 4: Simplify right side
    308,575.35x = 49,143,026,144.61
  5. Step 5: Solve for x
    x = 49,143,026,144.61/308,575.35
  6. Step 6: Final answer
    x = 159,257.78

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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.