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Finding the Fourth Proportional to 202,285.20, 303,427.80 and 52,524.30

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Solution

The fourth proportional to 202,285.20, 303,427.80 and 52,524.30 is: 78,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,285.20 : 303,427.80 = 52,524.30 : x
  2. Step 2: Convert to fraction form
    202,285.20/303,427.80 = 52,524.30/x
  3. Step 3: Cross multiply
    202,285.20x = 303,427.80 × 52,524.30
  4. Step 4: Simplify right side
    202,285.20x = 15,937,332,795.54
  5. Step 5: Solve for x
    x = 15,937,332,795.54/202,285.20
  6. Step 6: Final answer
    x = 78,786.45

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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.