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Finding the Fourth Proportional to 202,180.96, 303,476.40 and 182,324.32

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Solution

The fourth proportional to 202,180.96, 303,476.40 and 182,324.32 is: 273,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,180.96 : 303,476.40 = 182,324.32 : x
  2. Step 2: Convert to fraction form
    202,180.96/303,476.40 = 182,324.32/x
  3. Step 3: Cross multiply
    202,180.96x = 303,476.40 × 182,324.32
  4. Step 4: Simplify right side
    202,180.96x = 55,331,128,266.05
  5. Step 5: Solve for x
    x = 55,331,128,266.05/202,180.96
  6. Step 6: Final answer
    x = 273,671.31

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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.