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Finding the Fourth Proportional to 135,077.69, 186,406.38 and 74,651.83

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Solution

The fourth proportional to 135,077.69, 186,406.38 and 74,651.83 is: 103,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,077.69 : 186,406.38 = 74,651.83 : x
  2. Step 2: Convert to fraction form
    135,077.69/186,406.38 = 74,651.83/x
  3. Step 3: Cross multiply
    135,077.69x = 186,406.38 × 74,651.83
  4. Step 4: Simplify right side
    135,077.69x = 13,915,576,924.66
  5. Step 5: Solve for x
    x = 13,915,576,924.66/135,077.69
  6. Step 6: Final answer
    x = 103,019.06

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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.