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Finding the Fourth Proportional to 201,257.10, 301,540.05 and 131,100.30

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Solution

The fourth proportional to 201,257.10, 301,540.05 and 131,100.30 is: 196,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257.10 : 301,540.05 = 131,100.30 : x
  2. Step 2: Convert to fraction form
    201,257.10/301,540.05 = 131,100.30/x
  3. Step 3: Cross multiply
    201,257.10x = 301,540.05 × 131,100.30
  4. Step 4: Simplify right side
    201,257.10x = 39,531,991,017.02
  5. Step 5: Solve for x
    x = 39,531,991,017.02/201,257.10
  6. Step 6: Final answer
    x = 196,425.32

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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.