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Finding the Fourth Proportional to 356,183.92, 533,427.81 and 206,107.93

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Solution

The fourth proportional to 356,183.92, 533,427.81 and 206,107.93 is: 308,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,183.92 : 533,427.81 = 206,107.93 : x
  2. Step 2: Convert to fraction form
    356,183.92/533,427.81 = 206,107.93/x
  3. Step 3: Cross multiply
    356,183.92x = 533,427.81 × 206,107.93
  4. Step 4: Simplify right side
    356,183.92x = 109,943,701,723.53
  5. Step 5: Solve for x
    x = 109,943,701,723.53/356,183.92
  6. Step 6: Final answer
    x = 308,671.15

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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.