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Finding the Fourth Proportional to 135,054.90, 202,709.49 and 68,542.77

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Solution

The fourth proportional to 135,054.90, 202,709.49 and 68,542.77 is: 102,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,054.90 : 202,709.49 = 68,542.77 : x
  2. Step 2: Convert to fraction form
    135,054.90/202,709.49 = 68,542.77/x
  3. Step 3: Cross multiply
    135,054.90x = 202,709.49 × 68,542.77
  4. Step 4: Simplify right side
    135,054.90x = 13,894,269,949.89
  5. Step 5: Solve for x
    x = 13,894,269,949.89/135,054.90
  6. Step 6: Final answer
    x = 102,878.68

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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.