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Finding the Fourth Proportional to 200,803.05, 301,239.41 and 67,684.41

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Solution

The fourth proportional to 200,803.05, 301,239.41 and 67,684.41 is: 101,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,803.05 : 301,239.41 = 67,684.41 : x
  2. Step 2: Convert to fraction form
    200,803.05/301,239.41 = 67,684.41/x
  3. Step 3: Cross multiply
    200,803.05x = 301,239.41 × 67,684.41
  4. Step 4: Simplify right side
    200,803.05x = 20,389,211,396.18
  5. Step 5: Solve for x
    x = 20,389,211,396.18/200,803.05
  6. Step 6: Final answer
    x = 101,538.36

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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.