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Finding the Fourth Proportional to 202,268.44, 303,589 and 102,499.32

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Solution

The fourth proportional to 202,268.44, 303,589 and 102,499.32 is: 153,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268.44 : 303,589 = 102,499.32 : x
  2. Step 2: Convert to fraction form
    202,268.44/303,589 = 102,499.32/x
  3. Step 3: Cross multiply
    202,268.44x = 303,589 × 102,499.32
  4. Step 4: Simplify right side
    202,268.44x = 31,117,666,059.48
  5. Step 5: Solve for x
    x = 31,117,666,059.48/202,268.44
  6. Step 6: Final answer
    x = 153,843.41

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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.