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Finding the Fourth Proportional to 136,502.82, 204,754.26 and 53,338.50

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Solution

The fourth proportional to 136,502.82, 204,754.26 and 53,338.50 is: 80,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,502.82 : 204,754.26 = 53,338.50 : x
  2. Step 2: Convert to fraction form
    136,502.82/204,754.26 = 53,338.50/x
  3. Step 3: Cross multiply
    136,502.82x = 204,754.26 × 53,338.50
  4. Step 4: Simplify right side
    136,502.82x = 10,921,285,097.01
  5. Step 5: Solve for x
    x = 10,921,285,097.01/136,502.82
  6. Step 6: Final answer
    x = 80,007.76

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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.