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Finding the Fourth Proportional to 202,453, 303,863.67 and 107,762.79

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Solution

The fourth proportional to 202,453, 303,863.67 and 107,762.79 is: 161,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,453 : 303,863.67 = 107,762.79 : x
  2. Step 2: Convert to fraction form
    202,453/303,863.67 = 107,762.79/x
  3. Step 3: Cross multiply
    202,453x = 303,863.67 × 107,762.79
  4. Step 4: Simplify right side
    202,453x = 32,745,196,858.84
  5. Step 5: Solve for x
    x = 32,745,196,858.84/202,453
  6. Step 6: Final answer
    x = 161,742.22

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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.