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Finding the Fourth Proportional to 209,694.78, 314,231.11 and 154,018.62

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Solution

The fourth proportional to 209,694.78, 314,231.11 and 154,018.62 is: 230,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,694.78 : 314,231.11 = 154,018.62 : x
  2. Step 2: Convert to fraction form
    209,694.78/314,231.11 = 154,018.62/x
  3. Step 3: Cross multiply
    209,694.78x = 314,231.11 × 154,018.62
  4. Step 4: Simplify right side
    209,694.78x = 48,397,441,923.27
  5. Step 5: Solve for x
    x = 48,397,441,923.27/209,694.78
  6. Step 6: Final answer
    x = 230,799.46

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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.