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Finding the Fourth Proportional to 135,853.25, 203,837.59 and 72,657

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Solution

The fourth proportional to 135,853.25, 203,837.59 and 72,657 is: 109,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,853.25 : 203,837.59 = 72,657 : x
  2. Step 2: Convert to fraction form
    135,853.25/203,837.59 = 72,657/x
  3. Step 3: Cross multiply
    135,853.25x = 203,837.59 × 72,657
  4. Step 4: Simplify right side
    135,853.25x = 14,810,227,663.10
  5. Step 5: Solve for x
    x = 14,810,227,663.10/135,853.25
  6. Step 6: Final answer
    x = 109,016.37

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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.