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Finding the Fourth Proportional to 207,524.68, 311,315.82 and 67,237.96

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Solution

The fourth proportional to 207,524.68, 311,315.82 and 67,237.96 is: 100,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,524.68 : 311,315.82 = 67,237.96 : x
  2. Step 2: Convert to fraction form
    207,524.68/311,315.82 = 67,237.96/x
  3. Step 3: Cross multiply
    207,524.68x = 311,315.82 × 67,237.96
  4. Step 4: Simplify right side
    207,524.68x = 20,932,240,652.53
  5. Step 5: Solve for x
    x = 20,932,240,652.53/207,524.68
  6. Step 6: Final answer
    x = 100,866.27

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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.