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Finding the Fourth Proportional to 301,071.60, 451,213.20 and 151,480.80

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Solution

The fourth proportional to 301,071.60, 451,213.20 and 151,480.80 is: 227,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,071.60 : 451,213.20 = 151,480.80 : x
  2. Step 2: Convert to fraction form
    301,071.60/451,213.20 = 151,480.80/x
  3. Step 3: Cross multiply
    301,071.60x = 451,213.20 × 151,480.80
  4. Step 4: Simplify right side
    301,071.60x = 68,350,136,506.56
  5. Step 5: Solve for x
    x = 68,350,136,506.56/301,071.60
  6. Step 6: Final answer
    x = 227,022.86

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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.