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Finding the Fourth Proportional to 200,300.27, 276,413.94 and 109,655.50

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Solution

The fourth proportional to 200,300.27, 276,413.94 and 109,655.50 is: 151,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,300.27 : 276,413.94 = 109,655.50 : x
  2. Step 2: Convert to fraction form
    200,300.27/276,413.94 = 109,655.50/x
  3. Step 3: Cross multiply
    200,300.27x = 276,413.94 × 109,655.50
  4. Step 4: Simplify right side
    200,300.27x = 30,310,308,797.67
  5. Step 5: Solve for x
    x = 30,310,308,797.67/200,300.27
  6. Step 6: Final answer
    x = 151,324.35

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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.