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Finding the Fourth Proportional to 201,694.40, 302,023.20 and 148,817.60

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Solution

The fourth proportional to 201,694.40, 302,023.20 and 148,817.60 is: 222,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694.40 : 302,023.20 = 148,817.60 : x
  2. Step 2: Convert to fraction form
    201,694.40/302,023.20 = 148,817.60/x
  3. Step 3: Cross multiply
    201,694.40x = 302,023.20 × 148,817.60
  4. Step 4: Simplify right side
    201,694.40x = 44,946,367,768.32
  5. Step 5: Solve for x
    x = 44,946,367,768.32/201,694.40
  6. Step 6: Final answer
    x = 222,843.91

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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.