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Finding the Fourth Proportional to 180,413.80, 270,102.30 and 161,751.40

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Solution

The fourth proportional to 180,413.80, 270,102.30 and 161,751.40 is: 242,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,413.80 : 270,102.30 = 161,751.40 : x
  2. Step 2: Convert to fraction form
    180,413.80/270,102.30 = 161,751.40/x
  3. Step 3: Cross multiply
    180,413.80x = 270,102.30 × 161,751.40
  4. Step 4: Simplify right side
    180,413.80x = 43,689,425,168.22
  5. Step 5: Solve for x
    x = 43,689,425,168.22/180,413.80
  6. Step 6: Final answer
    x = 242,162.32

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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.