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Finding the Fourth Proportional to 180,834.90, 270,993.15 and 133,077.30

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Solution

The fourth proportional to 180,834.90, 270,993.15 and 133,077.30 is: 199,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,834.90 : 270,993.15 = 133,077.30 : x
  2. Step 2: Convert to fraction form
    180,834.90/270,993.15 = 133,077.30/x
  3. Step 3: Cross multiply
    180,834.90x = 270,993.15 × 133,077.30
  4. Step 4: Simplify right side
    180,834.90x = 36,063,036,720.50
  5. Step 5: Solve for x
    x = 36,063,036,720.50/180,834.90
  6. Step 6: Final answer
    x = 199,425.20

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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.