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Finding the Fourth Proportional to 303,975.92, 419,508.50 and 168,006.95

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Solution

The fourth proportional to 303,975.92, 419,508.50 and 168,006.95 is: 231,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,975.92 : 419,508.50 = 168,006.95 : x
  2. Step 2: Convert to fraction form
    303,975.92/419,508.50 = 168,006.95/x
  3. Step 3: Cross multiply
    303,975.92x = 419,508.50 × 168,006.95
  4. Step 4: Simplify right side
    303,975.92x = 70,480,343,584.08
  5. Step 5: Solve for x
    x = 70,480,343,584.08/303,975.92
  6. Step 6: Final answer
    x = 231,861.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.