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Finding the Fourth Proportional to 133,478.94, 200,216.04 and 33,636.90

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Solution

The fourth proportional to 133,478.94, 200,216.04 and 33,636.90 is: 50,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,478.94 : 200,216.04 = 33,636.90 : x
  2. Step 2: Convert to fraction form
    133,478.94/200,216.04 = 33,636.90/x
  3. Step 3: Cross multiply
    133,478.94x = 200,216.04 × 33,636.90
  4. Step 4: Simplify right side
    133,478.94x = 6,734,646,915.88
  5. Step 5: Solve for x
    x = 6,734,646,915.88/133,478.94
  6. Step 6: Final answer
    x = 50,454.75

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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.