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Finding the Fourth Proportional to 180,271.54, 270,413.52 and 61,941.88

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Solution

The fourth proportional to 180,271.54, 270,413.52 and 61,941.88 is: 92,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,271.54 : 270,413.52 = 61,941.88 : x
  2. Step 2: Convert to fraction form
    180,271.54/270,413.52 = 61,941.88/x
  3. Step 3: Cross multiply
    180,271.54x = 270,413.52 × 61,941.88
  4. Step 4: Simplify right side
    180,271.54x = 16,749,921,806.22
  5. Step 5: Solve for x
    x = 16,749,921,806.22/180,271.54
  6. Step 6: Final answer
    x = 92,914.95

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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.