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Finding the Fourth Proportional to 135,982.14, 203,677.29 and 65,713.50

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Solution

The fourth proportional to 135,982.14, 203,677.29 and 65,713.50 is: 98,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,982.14 : 203,677.29 = 65,713.50 : x
  2. Step 2: Convert to fraction form
    135,982.14/203,677.29 = 65,713.50/x
  3. Step 3: Cross multiply
    135,982.14x = 203,677.29 × 65,713.50
  4. Step 4: Simplify right side
    135,982.14x = 13,384,347,596.42
  5. Step 5: Solve for x
    x = 13,384,347,596.42/135,982.14
  6. Step 6: Final answer
    x = 98,427.25

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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.