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Finding the Fourth Proportional to 202,161.30, 303,351.30 and 83,844.60

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Solution

The fourth proportional to 202,161.30, 303,351.30 and 83,844.60 is: 125,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161.30 : 303,351.30 = 83,844.60 : x
  2. Step 2: Convert to fraction form
    202,161.30/303,351.30 = 83,844.60/x
  3. Step 3: Cross multiply
    202,161.30x = 303,351.30 × 83,844.60
  4. Step 4: Simplify right side
    202,161.30x = 25,434,368,407.98
  5. Step 5: Solve for x
    x = 25,434,368,407.98/202,161.30
  6. Step 6: Final answer
    x = 125,812.25

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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.