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Finding the Fourth Proportional to 207,694.84, 311,542.30 and 65,554.50

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Solution

The fourth proportional to 207,694.84, 311,542.30 and 65,554.50 is: 98,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,694.84 : 311,542.30 = 65,554.50 : x
  2. Step 2: Convert to fraction form
    207,694.84/311,542.30 = 65,554.50/x
  3. Step 3: Cross multiply
    207,694.84x = 311,542.30 × 65,554.50
  4. Step 4: Simplify right side
    207,694.84x = 20,422,999,705.35
  5. Step 5: Solve for x
    x = 20,422,999,705.35/207,694.84
  6. Step 6: Final answer
    x = 98,331.76

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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.