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Finding the Fourth Proportional to 202,163.84, 303,096 and 96,882.56

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Solution

The fourth proportional to 202,163.84, 303,096 and 96,882.56 is: 145,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163.84 : 303,096 = 96,882.56 : x
  2. Step 2: Convert to fraction form
    202,163.84/303,096 = 96,882.56/x
  3. Step 3: Cross multiply
    202,163.84x = 303,096 × 96,882.56
  4. Step 4: Simplify right side
    202,163.84x = 29,364,716,405.76
  5. Step 5: Solve for x
    x = 29,364,716,405.76/202,163.84
  6. Step 6: Final answer
    x = 145,252.07

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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.