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Finding the Fourth Proportional to 209,548.61, 289,183.34 and 129,022.59

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Solution

The fourth proportional to 209,548.61, 289,183.34 and 129,022.59 is: 178,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,548.61 : 289,183.34 = 129,022.59 : x
  2. Step 2: Convert to fraction form
    209,548.61/289,183.34 = 129,022.59/x
  3. Step 3: Cross multiply
    209,548.61x = 289,183.34 × 129,022.59
  4. Step 4: Simplify right side
    209,548.61x = 37,311,183,511.65
  5. Step 5: Solve for x
    x = 37,311,183,511.65/209,548.61
  6. Step 6: Final answer
    x = 178,055.03

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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.