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Finding the Fourth Proportional to 180,413.68, 270,620.40 and 113,954.80

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Solution

The fourth proportional to 180,413.68, 270,620.40 and 113,954.80 is: 170,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,413.68 : 270,620.40 = 113,954.80 : x
  2. Step 2: Convert to fraction form
    180,413.68/270,620.40 = 113,954.80/x
  3. Step 3: Cross multiply
    180,413.68x = 270,620.40 × 113,954.80
  4. Step 4: Simplify right side
    180,413.68x = 30,838,493,557.92
  5. Step 5: Solve for x
    x = 30,838,493,557.92/180,413.68
  6. Step 6: Final answer
    x = 170,932.12

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1.5x scale

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.