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Finding the Fourth Proportional to 204,449.41, 306,736.86 and 104,679.65

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Solution

The fourth proportional to 204,449.41, 306,736.86 and 104,679.65 is: 157,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,449.41 : 306,736.86 = 104,679.65 : x
  2. Step 2: Convert to fraction form
    204,449.41/306,736.86 = 104,679.65/x
  3. Step 3: Cross multiply
    204,449.41x = 306,736.86 × 104,679.65
  4. Step 4: Simplify right side
    204,449.41x = 32,109,107,731.16
  5. Step 5: Solve for x
    x = 32,109,107,731.16/204,449.41
  6. Step 6: Final answer
    x = 157,051.60

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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.