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Finding the Fourth Proportional to 207,937.40, 311,906.10 and 202,105.40

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Solution

The fourth proportional to 207,937.40, 311,906.10 and 202,105.40 is: 303,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,937.40 : 311,906.10 = 202,105.40 : x
  2. Step 2: Convert to fraction form
    207,937.40/311,906.10 = 202,105.40/x
  3. Step 3: Cross multiply
    207,937.40x = 311,906.10 × 202,105.40
  4. Step 4: Simplify right side
    207,937.40x = 63,037,907,102.94
  5. Step 5: Solve for x
    x = 63,037,907,102.94/207,937.40
  6. Step 6: Final answer
    x = 303,158.10

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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.