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Finding the Fourth Proportional to 202,062.90, 303,422.40 and 135,796.80

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Solution

The fourth proportional to 202,062.90, 303,422.40 and 135,796.80 is: 203,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,062.90 : 303,422.40 = 135,796.80 : x
  2. Step 2: Convert to fraction form
    202,062.90/303,422.40 = 135,796.80/x
  3. Step 3: Cross multiply
    202,062.90x = 303,422.40 × 135,796.80
  4. Step 4: Simplify right side
    202,062.90x = 41,203,790,968.32
  5. Step 5: Solve for x
    x = 41,203,790,968.32/202,062.90
  6. Step 6: Final answer
    x = 203,915.67

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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.