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Finding the Fourth Proportional to 68,107.60, 102,238.20 and 40,421.20

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Solution

The fourth proportional to 68,107.60, 102,238.20 and 40,421.20 is: 60,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,107.60 : 102,238.20 = 40,421.20 : x
  2. Step 2: Convert to fraction form
    68,107.60/102,238.20 = 40,421.20/x
  3. Step 3: Cross multiply
    68,107.60x = 102,238.20 × 40,421.20
  4. Step 4: Simplify right side
    68,107.60x = 4,132,590,729.84
  5. Step 5: Solve for x
    x = 4,132,590,729.84/68,107.60
  6. Step 6: Final answer
    x = 60,677.38

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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.