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Finding the Fourth Proportional to 258,106.60, 386,976.86 and 100,201.96

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Solution

The fourth proportional to 258,106.60, 386,976.86 and 100,201.96 is: 150,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,106.60 : 386,976.86 = 100,201.96 : x
  2. Step 2: Convert to fraction form
    258,106.60/386,976.86 = 100,201.96/x
  3. Step 3: Cross multiply
    258,106.60x = 386,976.86 × 100,201.96
  4. Step 4: Simplify right side
    258,106.60x = 38,775,839,846.65
  5. Step 5: Solve for x
    x = 38,775,839,846.65/258,106.60
  6. Step 6: Final answer
    x = 150,231.88

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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.