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Finding the Fourth Proportional to 202,568.85, 303,942.36 and 107,776.74

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Solution

The fourth proportional to 202,568.85, 303,942.36 and 107,776.74 is: 161,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,568.85 : 303,942.36 = 107,776.74 : x
  2. Step 2: Convert to fraction form
    202,568.85/303,942.36 = 107,776.74/x
  3. Step 3: Cross multiply
    202,568.85x = 303,942.36 × 107,776.74
  4. Step 4: Simplify right side
    202,568.85x = 32,757,916,708.71
  5. Step 5: Solve for x
    x = 32,757,916,708.71/202,568.85
  6. Step 6: Final answer
    x = 161,712.51

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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.