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Finding the Fourth Proportional to 313,014.30, 469,351.50 and 142,142.22

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Solution

The fourth proportional to 313,014.30, 469,351.50 and 142,142.22 is: 213,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,014.30 : 469,351.50 = 142,142.22 : x
  2. Step 2: Convert to fraction form
    313,014.30/469,351.50 = 142,142.22/x
  3. Step 3: Cross multiply
    313,014.30x = 469,351.50 × 142,142.22
  4. Step 4: Simplify right side
    313,014.30x = 66,714,664,170.33
  5. Step 5: Solve for x
    x = 66,714,664,170.33/313,014.30
  6. Step 6: Final answer
    x = 213,136.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.