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Finding the Fourth Proportional to 150,797.84, 208,008.42 and 108,413.24

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Solution

The fourth proportional to 150,797.84, 208,008.42 and 108,413.24 is: 149,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,797.84 : 208,008.42 = 108,413.24 : x
  2. Step 2: Convert to fraction form
    150,797.84/208,008.42 = 108,413.24/x
  3. Step 3: Cross multiply
    150,797.84x = 208,008.42 × 108,413.24
  4. Step 4: Simplify right side
    150,797.84x = 22,550,866,759.48
  5. Step 5: Solve for x
    x = 22,550,866,759.48/150,797.84
  6. Step 6: Final answer
    x = 149,543.70

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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.