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Finding the Fourth Proportional to 135,198.95, 202,782.92 and 35,368.79

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Solution

The fourth proportional to 135,198.95, 202,782.92 and 35,368.79 is: 53,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198.95 : 202,782.92 = 35,368.79 : x
  2. Step 2: Convert to fraction form
    135,198.95/202,782.92 = 35,368.79/x
  3. Step 3: Cross multiply
    135,198.95x = 202,782.92 × 35,368.79
  4. Step 4: Simplify right side
    135,198.95x = 7,172,185,322.31
  5. Step 5: Solve for x
    x = 7,172,185,322.31/135,198.95
  6. Step 6: Final answer
    x = 53,049.12

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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.