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Finding the Fourth Proportional to 202,524.30, 303,793.74 and 76,152.96

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Solution

The fourth proportional to 202,524.30, 303,793.74 and 76,152.96 is: 114,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,524.30 : 303,793.74 = 76,152.96 : x
  2. Step 2: Convert to fraction form
    202,524.30/303,793.74 = 76,152.96/x
  3. Step 3: Cross multiply
    202,524.30x = 303,793.74 × 76,152.96
  4. Step 4: Simplify right side
    202,524.30x = 23,134,792,530.47
  5. Step 5: Solve for x
    x = 23,134,792,530.47/202,524.30
  6. Step 6: Final answer
    x = 114,232.18

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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.