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Finding the Fourth Proportional to 135,813.24, 187,413.57 and 75,384

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Solution

The fourth proportional to 135,813.24, 187,413.57 and 75,384 is: 104,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,813.24 : 187,413.57 = 75,384 : x
  2. Step 2: Convert to fraction form
    135,813.24/187,413.57 = 75,384/x
  3. Step 3: Cross multiply
    135,813.24x = 187,413.57 × 75,384
  4. Step 4: Simplify right side
    135,813.24x = 14,127,984,560.88
  5. Step 5: Solve for x
    x = 14,127,984,560.88/135,813.24
  6. Step 6: Final answer
    x = 104,025.09

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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.