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Finding the Fourth Proportional to 133,195.40, 199,793.10 and 54,266.60

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Solution

The fourth proportional to 133,195.40, 199,793.10 and 54,266.60 is: 81,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,195.40 : 199,793.10 = 54,266.60 : x
  2. Step 2: Convert to fraction form
    133,195.40/199,793.10 = 54,266.60/x
  3. Step 3: Cross multiply
    133,195.40x = 199,793.10 × 54,266.60
  4. Step 4: Simplify right side
    133,195.40x = 10,842,092,240.46
  5. Step 5: Solve for x
    x = 10,842,092,240.46/133,195.40
  6. Step 6: Final answer
    x = 81,399.90

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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.