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Finding the Fourth Proportional to 207,992.84, 311,989.20 and 67,751.46

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Solution

The fourth proportional to 207,992.84, 311,989.20 and 67,751.46 is: 101,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,992.84 : 311,989.20 = 67,751.46 : x
  2. Step 2: Convert to fraction form
    207,992.84/311,989.20 = 67,751.46/x
  3. Step 3: Cross multiply
    207,992.84x = 311,989.20 × 67,751.46
  4. Step 4: Simplify right side
    207,992.84x = 21,137,723,804.23
  5. Step 5: Solve for x
    x = 21,137,723,804.23/207,992.84
  6. Step 6: Final answer
    x = 101,627.17

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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.