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Finding the Fourth Proportional to 201,464.20, 301,937.10 and 122,494.60

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Solution

The fourth proportional to 201,464.20, 301,937.10 and 122,494.60 is: 183,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,464.20 : 301,937.10 = 122,494.60 : x
  2. Step 2: Convert to fraction form
    201,464.20/301,937.10 = 122,494.60/x
  3. Step 3: Cross multiply
    201,464.20x = 301,937.10 × 122,494.60
  4. Step 4: Simplify right side
    201,464.20x = 36,985,664,289.66
  5. Step 5: Solve for x
    x = 36,985,664,289.66/201,464.20
  6. Step 6: Final answer
    x = 183,584.30

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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.