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Finding the Fourth Proportional to 180,832.40, 270,989.40 and 133,074.80

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Solution

The fourth proportional to 180,832.40, 270,989.40 and 133,074.80 is: 199,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,832.40 : 270,989.40 = 133,074.80 : x
  2. Step 2: Convert to fraction form
    180,832.40/270,989.40 = 133,074.80/x
  3. Step 3: Cross multiply
    180,832.40x = 270,989.40 × 133,074.80
  4. Step 4: Simplify right side
    180,832.40x = 36,061,860,207.12
  5. Step 5: Solve for x
    x = 36,061,860,207.12/180,832.40
  6. Step 6: Final answer
    x = 199,421.45

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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.