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Finding the Fourth Proportional to 202,516.60, 303,629.10 and 113,797.30

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Solution

The fourth proportional to 202,516.60, 303,629.10 and 113,797.30 is: 170,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,516.60 : 303,629.10 = 113,797.30 : x
  2. Step 2: Convert to fraction form
    202,516.60/303,629.10 = 113,797.30/x
  3. Step 3: Cross multiply
    202,516.60x = 303,629.10 × 113,797.30
  4. Step 4: Simplify right side
    202,516.60x = 34,552,171,781.43
  5. Step 5: Solve for x
    x = 34,552,171,781.43/202,516.60
  6. Step 6: Final answer
    x = 170,614.02

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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.