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Finding the Fourth Proportional to 303,198.19, 454,795.46 and 78,558.05

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Solution

The fourth proportional to 303,198.19, 454,795.46 and 78,558.05 is: 117,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,198.19 : 454,795.46 = 78,558.05 : x
  2. Step 2: Convert to fraction form
    303,198.19/454,795.46 = 78,558.05/x
  3. Step 3: Cross multiply
    303,198.19x = 454,795.46 × 78,558.05
  4. Step 4: Simplify right side
    303,198.19x = 35,727,845,525.24
  5. Step 5: Solve for x
    x = 35,727,845,525.24/303,198.19
  6. Step 6: Final answer
    x = 117,836.61

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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.