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Finding the Fourth Proportional to 81,406.20, 122,138.10 and 78,526.20

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Solution

The fourth proportional to 81,406.20, 122,138.10 and 78,526.20 is: 117,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.20 : 122,138.10 = 78,526.20 : x
  2. Step 2: Convert to fraction form
    81,406.20/122,138.10 = 78,526.20/x
  3. Step 3: Cross multiply
    81,406.20x = 122,138.10 × 78,526.20
  4. Step 4: Simplify right side
    81,406.20x = 9,591,040,868.22
  5. Step 5: Solve for x
    x = 9,591,040,868.22/81,406.20
  6. Step 6: Final answer
    x = 117,817.08

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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.