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Finding the Fourth Proportional to 194,201.30, 267,962.02 and 109,300.34

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Solution

The fourth proportional to 194,201.30, 267,962.02 and 109,300.34 is: 150,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,201.30 : 267,962.02 = 109,300.34 : x
  2. Step 2: Convert to fraction form
    194,201.30/267,962.02 = 109,300.34/x
  3. Step 3: Cross multiply
    194,201.30x = 267,962.02 × 109,300.34
  4. Step 4: Simplify right side
    194,201.30x = 29,288,338,280.03
  5. Step 5: Solve for x
    x = 29,288,338,280.03/194,201.30
  6. Step 6: Final answer
    x = 150,814.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.