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Finding the Fourth Proportional to 209,778.88, 289,418.91 and 137,223.19

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Solution

The fourth proportional to 209,778.88, 289,418.91 and 137,223.19 is: 189,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,778.88 : 289,418.91 = 137,223.19 : x
  2. Step 2: Convert to fraction form
    209,778.88/289,418.91 = 137,223.19/x
  3. Step 3: Cross multiply
    209,778.88x = 289,418.91 × 137,223.19
  4. Step 4: Simplify right side
    209,778.88x = 39,714,986,351.75
  5. Step 5: Solve for x
    x = 39,714,986,351.75/209,778.88
  6. Step 6: Final answer
    x = 189,318.33

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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.