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Finding the Fourth Proportional to 135,131.52, 186,480.46 and 77,782.11

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Solution

The fourth proportional to 135,131.52, 186,480.46 and 77,782.11 is: 107,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,131.52 : 186,480.46 = 77,782.11 : x
  2. Step 2: Convert to fraction form
    135,131.52/186,480.46 = 77,782.11/x
  3. Step 3: Cross multiply
    135,131.52x = 186,480.46 × 77,782.11
  4. Step 4: Simplify right side
    135,131.52x = 14,504,843,050.50
  5. Step 5: Solve for x
    x = 14,504,843,050.50/135,131.52
  6. Step 6: Final answer
    x = 107,338.71

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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.