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Finding the Fourth Proportional to 156,224.25, 234,376.34 and 45,416.25

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Solution

The fourth proportional to 156,224.25, 234,376.34 and 45,416.25 is: 68,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,224.25 : 234,376.34 = 45,416.25 : x
  2. Step 2: Convert to fraction form
    156,224.25/234,376.34 = 45,416.25/x
  3. Step 3: Cross multiply
    156,224.25x = 234,376.34 × 45,416.25
  4. Step 4: Simplify right side
    156,224.25x = 10,644,494,224.44
  5. Step 5: Solve for x
    x = 10,644,494,224.44/156,224.25
  6. Step 6: Final answer
    x = 68,135.99

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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.