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Finding the Fourth Proportional to 214,139.40, 321,209.10 and 109,163.40

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Solution

The fourth proportional to 214,139.40, 321,209.10 and 109,163.40 is: 163,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,139.40 : 321,209.10 = 109,163.40 : x
  2. Step 2: Convert to fraction form
    214,139.40/321,209.10 = 109,163.40/x
  3. Step 3: Cross multiply
    214,139.40x = 321,209.10 × 109,163.40
  4. Step 4: Simplify right side
    214,139.40x = 35,064,277,466.94
  5. Step 5: Solve for x
    x = 35,064,277,466.94/214,139.40
  6. Step 6: Final answer
    x = 163,745.10

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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.