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Finding the Fourth Proportional to 209,736.54, 289,434.06 and 114,243.21

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Solution

The fourth proportional to 209,736.54, 289,434.06 and 114,243.21 is: 157,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,736.54 : 289,434.06 = 114,243.21 : x
  2. Step 2: Convert to fraction form
    209,736.54/289,434.06 = 114,243.21/x
  3. Step 3: Cross multiply
    209,736.54x = 289,434.06 × 114,243.21
  4. Step 4: Simplify right side
    209,736.54x = 33,065,876,097.73
  5. Step 5: Solve for x
    x = 33,065,876,097.73/209,736.54
  6. Step 6: Final answer
    x = 157,654.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.