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Finding the Fourth Proportional to 214,150.40, 321,225.60 and 64,413.80

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Solution

The fourth proportional to 214,150.40, 321,225.60 and 64,413.80 is: 96,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150.40 : 321,225.60 = 64,413.80 : x
  2. Step 2: Convert to fraction form
    214,150.40/321,225.60 = 64,413.80/x
  3. Step 3: Cross multiply
    214,150.40x = 321,225.60 × 64,413.80
  4. Step 4: Simplify right side
    214,150.40x = 20,691,361,553.28
  5. Step 5: Solve for x
    x = 20,691,361,553.28/214,150.40
  6. Step 6: Final answer
    x = 96,620.70

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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.