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Finding the Fourth Proportional to 135,647.24, 187,212.48 and 75,231.32

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Solution

The fourth proportional to 135,647.24, 187,212.48 and 75,231.32 is: 103,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,647.24 : 187,212.48 = 75,231.32 : x
  2. Step 2: Convert to fraction form
    135,647.24/187,212.48 = 75,231.32/x
  3. Step 3: Cross multiply
    135,647.24x = 187,212.48 × 75,231.32
  4. Step 4: Simplify right side
    135,647.24x = 14,084,241,990.87
  5. Step 5: Solve for x
    x = 14,084,241,990.87/135,647.24
  6. Step 6: Final answer
    x = 103,829.92

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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.