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Finding the Fourth Proportional to 299,984.10, 450,000.11 and 100,305.54

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Solution

The fourth proportional to 299,984.10, 450,000.11 and 100,305.54 is: 150,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,984.10 : 450,000.11 = 100,305.54 : x
  2. Step 2: Convert to fraction form
    299,984.10/450,000.11 = 100,305.54/x
  3. Step 3: Cross multiply
    299,984.10x = 450,000.11 × 100,305.54
  4. Step 4: Simplify right side
    299,984.10x = 45,137,503,532.08
  5. Step 5: Solve for x
    x = 45,137,503,532.08/299,984.10
  6. Step 6: Final answer
    x = 150,466.32

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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.