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Finding the Fourth Proportional to 214,902.90, 322,354.35 and 57,147.30

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Solution

The fourth proportional to 214,902.90, 322,354.35 and 57,147.30 is: 85,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,902.90 : 322,354.35 = 57,147.30 : x
  2. Step 2: Convert to fraction form
    214,902.90/322,354.35 = 57,147.30/x
  3. Step 3: Cross multiply
    214,902.90x = 322,354.35 × 57,147.30
  4. Step 4: Simplify right side
    214,902.90x = 18,421,680,745.76
  5. Step 5: Solve for x
    x = 18,421,680,745.76/214,902.90
  6. Step 6: Final answer
    x = 85,720.95

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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.