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Finding the Fourth Proportional to 133,694.34, 200,566.84 and 53,738.54

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Solution

The fourth proportional to 133,694.34, 200,566.84 and 53,738.54 is: 80,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,694.34 : 200,566.84 = 53,738.54 : x
  2. Step 2: Convert to fraction form
    133,694.34/200,566.84 = 53,738.54/x
  3. Step 3: Cross multiply
    133,694.34x = 200,566.84 × 53,738.54
  4. Step 4: Simplify right side
    133,694.34x = 10,778,169,154.01
  5. Step 5: Solve for x
    x = 10,778,169,154.01/133,694.34
  6. Step 6: Final answer
    x = 80,617.99

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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.