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Finding the Fourth Proportional to 207,767.43, 311,683.95 and 67,493.25

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Solution

The fourth proportional to 207,767.43, 311,683.95 and 67,493.25 is: 101,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,767.43 : 311,683.95 = 67,493.25 : x
  2. Step 2: Convert to fraction form
    207,767.43/311,683.95 = 67,493.25/x
  3. Step 3: Cross multiply
    207,767.43x = 311,683.95 × 67,493.25
  4. Step 4: Simplify right side
    207,767.43x = 21,036,562,758.34
  5. Step 5: Solve for x
    x = 21,036,562,758.34/207,767.43
  6. Step 6: Final answer
    x = 101,250.53

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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.