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Finding the Fourth Proportional to 135,054.73, 202,601.54 and 41,538.61

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Solution

The fourth proportional to 135,054.73, 202,601.54 and 41,538.61 is: 62,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,054.73 : 202,601.54 = 41,538.61 : x
  2. Step 2: Convert to fraction form
    135,054.73/202,601.54 = 41,538.61/x
  3. Step 3: Cross multiply
    135,054.73x = 202,601.54 × 41,538.61
  4. Step 4: Simplify right side
    135,054.73x = 8,415,786,355.46
  5. Step 5: Solve for x
    x = 8,415,786,355.46/135,054.73
  6. Step 6: Final answer
    x = 62,313.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.