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Finding the Fourth Proportional to 202,096.50, 303,143.54 and 52,336.41

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Solution

The fourth proportional to 202,096.50, 303,143.54 and 52,336.41 is: 78,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,096.50 : 303,143.54 = 52,336.41 : x
  2. Step 2: Convert to fraction form
    202,096.50/303,143.54 = 52,336.41/x
  3. Step 3: Cross multiply
    202,096.50x = 303,143.54 × 52,336.41
  4. Step 4: Simplify right side
    202,096.50x = 15,865,444,336.61
  5. Step 5: Solve for x
    x = 15,865,444,336.61/202,096.50
  6. Step 6: Final answer
    x = 78,504.30

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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.