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Finding the Fourth Proportional to 141,616.24, 195,413.18 and 84,257.24

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Solution

The fourth proportional to 141,616.24, 195,413.18 and 84,257.24 is: 116,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,616.24 : 195,413.18 = 84,257.24 : x
  2. Step 2: Convert to fraction form
    141,616.24/195,413.18 = 84,257.24/x
  3. Step 3: Cross multiply
    141,616.24x = 195,413.18 × 84,257.24
  4. Step 4: Simplify right side
    141,616.24x = 16,464,975,206.42
  5. Step 5: Solve for x
    x = 16,464,975,206.42/141,616.24
  6. Step 6: Final answer
    x = 116,264.74

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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.