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Finding the Fourth Proportional to 137,270.80, 205,906.20 and 48,523.60

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Solution

The fourth proportional to 137,270.80, 205,906.20 and 48,523.60 is: 72,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,270.80 : 205,906.20 = 48,523.60 : x
  2. Step 2: Convert to fraction form
    137,270.80/205,906.20 = 48,523.60/x
  3. Step 3: Cross multiply
    137,270.80x = 205,906.20 × 48,523.60
  4. Step 4: Simplify right side
    137,270.80x = 9,991,310,086.32
  5. Step 5: Solve for x
    x = 9,991,310,086.32/137,270.80
  6. Step 6: Final answer
    x = 72,785.40

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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.