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Finding the Fourth Proportional to 207,907.36, 311,899.46 and 65,788.41

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Solution

The fourth proportional to 207,907.36, 311,899.46 and 65,788.41 is: 98,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,907.36 : 311,899.46 = 65,788.41 : x
  2. Step 2: Convert to fraction form
    207,907.36/311,899.46 = 65,788.41/x
  3. Step 3: Cross multiply
    207,907.36x = 311,899.46 × 65,788.41
  4. Step 4: Simplify right side
    207,907.36x = 20,519,369,553.26
  5. Step 5: Solve for x
    x = 20,519,369,553.26/207,907.36
  6. Step 6: Final answer
    x = 98,694.77

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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.