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Finding the Fourth Proportional to 180,296.01, 270,423.36 and 47,189.12

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Solution

The fourth proportional to 180,296.01, 270,423.36 and 47,189.12 is: 70,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,296.01 : 270,423.36 = 47,189.12 : x
  2. Step 2: Convert to fraction form
    180,296.01/270,423.36 = 47,189.12/x
  3. Step 3: Cross multiply
    180,296.01x = 270,423.36 × 47,189.12
  4. Step 4: Simplify right side
    180,296.01x = 12,761,039,033.73
  5. Step 5: Solve for x
    x = 12,761,039,033.73/180,296.01
  6. Step 6: Final answer
    x = 70,778.27

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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.