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Finding the Fourth Proportional to 201,084.30, 301,735.80 and 82,767.60

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Solution

The fourth proportional to 201,084.30, 301,735.80 and 82,767.60 is: 124,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,084.30 : 301,735.80 = 82,767.60 : x
  2. Step 2: Convert to fraction form
    201,084.30/301,735.80 = 82,767.60/x
  3. Step 3: Cross multiply
    201,084.30x = 301,735.80 × 82,767.60
  4. Step 4: Simplify right side
    201,084.30x = 24,973,948,000.08
  5. Step 5: Solve for x
    x = 24,973,948,000.08/201,084.30
  6. Step 6: Final answer
    x = 124,196.41

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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.