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Finding the Fourth Proportional to 202,268.54, 303,308.96 and 118,052.94

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Solution

The fourth proportional to 202,268.54, 303,308.96 and 118,052.94 is: 177,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268.54 : 303,308.96 = 118,052.94 : x
  2. Step 2: Convert to fraction form
    202,268.54/303,308.96 = 118,052.94/x
  3. Step 3: Cross multiply
    202,268.54x = 303,308.96 × 118,052.94
  4. Step 4: Simplify right side
    202,268.54x = 35,806,515,003.49
  5. Step 5: Solve for x
    x = 35,806,515,003.49/202,268.54
  6. Step 6: Final answer
    x = 177,024.64

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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.