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Finding the Fourth Proportional to 137,627.98, 189,965.91 and 81,071.98

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Solution

The fourth proportional to 137,627.98, 189,965.91 and 81,071.98 is: 111,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.98 : 189,965.91 = 81,071.98 : x
  2. Step 2: Convert to fraction form
    137,627.98/189,965.91 = 81,071.98/x
  3. Step 3: Cross multiply
    137,627.98x = 189,965.91 × 81,071.98
  4. Step 4: Simplify right side
    137,627.98x = 15,400,912,456.20
  5. Step 5: Solve for x
    x = 15,400,912,456.20/137,627.98
  6. Step 6: Final answer
    x = 111,902.48

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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.