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Finding the Fourth Proportional to 214,745.96, 322,125.66 and 102,438.36

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Solution

The fourth proportional to 214,745.96, 322,125.66 and 102,438.36 is: 153,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,745.96 : 322,125.66 = 102,438.36 : x
  2. Step 2: Convert to fraction form
    214,745.96/322,125.66 = 102,438.36/x
  3. Step 3: Cross multiply
    214,745.96x = 322,125.66 × 102,438.36
  4. Step 4: Simplify right side
    214,745.96x = 32,998,024,324.32
  5. Step 5: Solve for x
    x = 32,998,024,324.32/214,745.96
  6. Step 6: Final answer
    x = 153,660.75

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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.