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Finding the Fourth Proportional to 201,469.60, 301,839.90 and 96,056.20

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Solution

The fourth proportional to 201,469.60, 301,839.90 and 96,056.20 is: 143,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469.60 : 301,839.90 = 96,056.20 : x
  2. Step 2: Convert to fraction form
    201,469.60/301,839.90 = 96,056.20/x
  3. Step 3: Cross multiply
    201,469.60x = 301,839.90 × 96,056.20
  4. Step 4: Simplify right side
    201,469.60x = 28,993,593,802.38
  5. Step 5: Solve for x
    x = 28,993,593,802.38/201,469.60
  6. Step 6: Final answer
    x = 143,910.51

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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.