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Finding the Fourth Proportional to 202,107.20, 278,912.42 and 111,465.88

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Solution

The fourth proportional to 202,107.20, 278,912.42 and 111,465.88 is: 153,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107.20 : 278,912.42 = 111,465.88 : x
  2. Step 2: Convert to fraction form
    202,107.20/278,912.42 = 111,465.88/x
  3. Step 3: Cross multiply
    202,107.20x = 278,912.42 × 111,465.88
  4. Step 4: Simplify right side
    202,107.20x = 31,089,218,338.23
  5. Step 5: Solve for x
    x = 31,089,218,338.23/202,107.20
  6. Step 6: Final answer
    x = 153,825.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.