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Finding the Fourth Proportional to 120,199.96, 180,297.90 and 35,960.32

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Solution

The fourth proportional to 120,199.96, 180,297.90 and 35,960.32 is: 53,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199.96 : 180,297.90 = 35,960.32 : x
  2. Step 2: Convert to fraction form
    120,199.96/180,297.90 = 35,960.32/x
  3. Step 3: Cross multiply
    120,199.96x = 180,297.90 × 35,960.32
  4. Step 4: Simplify right side
    120,199.96x = 6,483,570,179.33
  5. Step 5: Solve for x
    x = 6,483,570,179.33/120,199.96
  6. Step 6: Final answer
    x = 53,939.87

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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.