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Finding the Fourth Proportional to 143,234.22, 214,851.42 and 54,467.22

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Solution

The fourth proportional to 143,234.22, 214,851.42 and 54,467.22 is: 81,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,234.22 : 214,851.42 = 54,467.22 : x
  2. Step 2: Convert to fraction form
    143,234.22/214,851.42 = 54,467.22/x
  3. Step 3: Cross multiply
    143,234.22x = 214,851.42 × 54,467.22
  4. Step 4: Simplify right side
    143,234.22x = 11,702,359,560.45
  5. Step 5: Solve for x
    x = 11,702,359,560.45/143,234.22
  6. Step 6: Final answer
    x = 81,700.86

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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.