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Finding the Fourth Proportional to 133,786.94, 200,709.93 and 39,024.54

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Solution

The fourth proportional to 133,786.94, 200,709.93 and 39,024.54 is: 58,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,786.94 : 200,709.93 = 39,024.54 : x
  2. Step 2: Convert to fraction form
    133,786.94/200,709.93 = 39,024.54/x
  3. Step 3: Cross multiply
    133,786.94x = 200,709.93 × 39,024.54
  4. Step 4: Simplify right side
    133,786.94x = 7,832,612,092.35
  5. Step 5: Solve for x
    x = 7,832,612,092.35/133,786.94
  6. Step 6: Final answer
    x = 58,545.42

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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.