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Finding the Fourth Proportional to 133,111.20, 199,593.90 and 54,136.20

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Solution

The fourth proportional to 133,111.20, 199,593.90 and 54,136.20 is: 81,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111.20 : 199,593.90 = 54,136.20 : x
  2. Step 2: Convert to fraction form
    133,111.20/199,593.90 = 54,136.20/x
  3. Step 3: Cross multiply
    133,111.20x = 199,593.90 × 54,136.20
  4. Step 4: Simplify right side
    133,111.20x = 10,805,255,289.18
  5. Step 5: Solve for x
    x = 10,805,255,289.18/133,111.20
  6. Step 6: Final answer
    x = 81,174.65

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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.