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Finding the Fourth Proportional to 207,785.97, 311,696.63 and 65,593.20

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Solution

The fourth proportional to 207,785.97, 311,696.63 and 65,593.20 is: 98,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,785.97 : 311,696.63 = 65,593.20 : x
  2. Step 2: Convert to fraction form
    207,785.97/311,696.63 = 65,593.20/x
  3. Step 3: Cross multiply
    207,785.97x = 311,696.63 × 65,593.20
  4. Step 4: Simplify right side
    207,785.97x = 20,445,179,390.92
  5. Step 5: Solve for x
    x = 20,445,179,390.92/207,785.97
  6. Step 6: Final answer
    x = 98,395.38

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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.