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Finding the Fourth Proportional to 81,851.40, 122,777.10 and 78,352.20

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Solution

The fourth proportional to 81,851.40, 122,777.10 and 78,352.20 is: 117,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,851.40 : 122,777.10 = 78,352.20 : x
  2. Step 2: Convert to fraction form
    81,851.40/122,777.10 = 78,352.20/x
  3. Step 3: Cross multiply
    81,851.40x = 122,777.10 × 78,352.20
  4. Step 4: Simplify right side
    81,851.40x = 9,619,855,894.62
  5. Step 5: Solve for x
    x = 9,619,855,894.62/81,851.40
  6. Step 6: Final answer
    x = 117,528.30

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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.