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Finding the Fourth Proportional to 202,092.71, 303,187.76 and 75,734.06

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Solution

The fourth proportional to 202,092.71, 303,187.76 and 75,734.06 is: 113,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.71 : 303,187.76 = 75,734.06 : x
  2. Step 2: Convert to fraction form
    202,092.71/303,187.76 = 75,734.06/x
  3. Step 3: Cross multiply
    202,092.71x = 303,187.76 × 75,734.06
  4. Step 4: Simplify right side
    202,092.71x = 22,961,640,196.44
  5. Step 5: Solve for x
    x = 22,961,640,196.44/202,092.71
  6. Step 6: Final answer
    x = 113,619.34

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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.