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Finding the Fourth Proportional to 142,538.37, 196,708.19 and 92,237.37

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Solution

The fourth proportional to 142,538.37, 196,708.19 and 92,237.37 is: 127,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,538.37 : 196,708.19 = 92,237.37 : x
  2. Step 2: Convert to fraction form
    142,538.37/196,708.19 = 92,237.37/x
  3. Step 3: Cross multiply
    142,538.37x = 196,708.19 × 92,237.37
  4. Step 4: Simplify right side
    142,538.37x = 18,143,846,103.06
  5. Step 5: Solve for x
    x = 18,143,846,103.06/142,538.37
  6. Step 6: Final answer
    x = 127,290.96

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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.