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Finding the Fourth Proportional to 135,121.86, 186,449.13 and 77,739.38

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Solution

The fourth proportional to 135,121.86, 186,449.13 and 77,739.38 is: 107,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,121.86 : 186,449.13 = 77,739.38 : x
  2. Step 2: Convert to fraction form
    135,121.86/186,449.13 = 77,739.38/x
  3. Step 3: Cross multiply
    135,121.86x = 186,449.13 × 77,739.38
  4. Step 4: Simplify right side
    135,121.86x = 14,494,438,835.49
  5. Step 5: Solve for x
    x = 14,494,438,835.49/135,121.86
  6. Step 6: Final answer
    x = 107,269.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.