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Finding the Fourth Proportional to 209,357, 313,607.82 and 174,183.56

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Solution

The fourth proportional to 209,357, 313,607.82 and 174,183.56 is: 260,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357 : 313,607.82 = 174,183.56 : x
  2. Step 2: Convert to fraction form
    209,357/313,607.82 = 174,183.56/x
  3. Step 3: Cross multiply
    209,357x = 313,607.82 × 174,183.56
  4. Step 4: Simplify right side
    209,357x = 54,625,326,531.44
  5. Step 5: Solve for x
    x = 54,625,326,531.44/209,357
  6. Step 6: Final answer
    x = 260,919.51

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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.