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Finding the Fourth Proportional to 201,676.80, 302,515.20 and 135,321.60

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Solution

The fourth proportional to 201,676.80, 302,515.20 and 135,321.60 is: 202,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.80 : 302,515.20 = 135,321.60 : x
  2. Step 2: Convert to fraction form
    201,676.80/302,515.20 = 135,321.60/x
  3. Step 3: Cross multiply
    201,676.80x = 302,515.20 × 135,321.60
  4. Step 4: Simplify right side
    201,676.80x = 40,936,840,888.32
  5. Step 5: Solve for x
    x = 40,936,840,888.32/201,676.80
  6. Step 6: Final answer
    x = 202,982.40

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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.