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Finding the Fourth Proportional to 165,937.80, 248,906.70 and 136,413.30

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Solution

The fourth proportional to 165,937.80, 248,906.70 and 136,413.30 is: 204,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,937.80 : 248,906.70 = 136,413.30 : x
  2. Step 2: Convert to fraction form
    165,937.80/248,906.70 = 136,413.30/x
  3. Step 3: Cross multiply
    165,937.80x = 248,906.70 × 136,413.30
  4. Step 4: Simplify right side
    165,937.80x = 33,954,184,339.11
  5. Step 5: Solve for x
    x = 33,954,184,339.11/165,937.80
  6. Step 6: Final answer
    x = 204,619.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.