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Finding the Fourth Proportional to 207,305.94, 311,024.66 and 74,183.25

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Solution

The fourth proportional to 207,305.94, 311,024.66 and 74,183.25 is: 111,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,305.94 : 311,024.66 = 74,183.25 : x
  2. Step 2: Convert to fraction form
    207,305.94/311,024.66 = 74,183.25/x
  3. Step 3: Cross multiply
    207,305.94x = 311,024.66 × 74,183.25
  4. Step 4: Simplify right side
    207,305.94x = 23,072,819,738.03
  5. Step 5: Solve for x
    x = 23,072,819,738.03/207,305.94
  6. Step 6: Final answer
    x = 111,298.40

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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.