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Finding the Fourth Proportional to 202,268.75, 303,538.43 and 83,940.08

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Solution

The fourth proportional to 202,268.75, 303,538.43 and 83,940.08 is: 125,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268.75 : 303,538.43 = 83,940.08 : x
  2. Step 2: Convert to fraction form
    202,268.75/303,538.43 = 83,940.08/x
  3. Step 3: Cross multiply
    202,268.75x = 303,538.43 × 83,940.08
  4. Step 4: Simplify right side
    202,268.75x = 25,479,038,789.43
  5. Step 5: Solve for x
    x = 25,479,038,789.43/202,268.75
  6. Step 6: Final answer
    x = 125,966.27

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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.