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Finding the Fourth Proportional to 214,893.34, 322,339.64 and 57,121.80

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Solution

The fourth proportional to 214,893.34, 322,339.64 and 57,121.80 is: 85,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,893.34 : 322,339.64 = 57,121.80 : x
  2. Step 2: Convert to fraction form
    214,893.34/322,339.64 = 57,121.80/x
  3. Step 3: Cross multiply
    214,893.34x = 322,339.64 × 57,121.80
  4. Step 4: Simplify right side
    214,893.34x = 18,412,620,448.15
  5. Step 5: Solve for x
    x = 18,412,620,448.15/214,893.34
  6. Step 6: Final answer
    x = 85,682.60

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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.