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Finding the Fourth Proportional to 129,694.56, 194,592.60 and 50,795.16

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Solution

The fourth proportional to 129,694.56, 194,592.60 and 50,795.16 is: 76,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,694.56 : 194,592.60 = 50,795.16 : x
  2. Step 2: Convert to fraction form
    129,694.56/194,592.60 = 50,795.16/x
  3. Step 3: Cross multiply
    129,694.56x = 194,592.60 × 50,795.16
  4. Step 4: Simplify right side
    129,694.56x = 9,884,362,251.82
  5. Step 5: Solve for x
    x = 9,884,362,251.82/129,694.56
  6. Step 6: Final answer
    x = 76,212.62

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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.