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Finding the Fourth Proportional to 189,104.80, 283,786.80 and 83,999.20

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Solution

The fourth proportional to 189,104.80, 283,786.80 and 83,999.20 is: 126,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,104.80 : 283,786.80 = 83,999.20 : x
  2. Step 2: Convert to fraction form
    189,104.80/283,786.80 = 83,999.20/x
  3. Step 3: Cross multiply
    189,104.80x = 283,786.80 × 83,999.20
  4. Step 4: Simplify right side
    189,104.80x = 23,837,864,170.56
  5. Step 5: Solve for x
    x = 23,837,864,170.56/189,104.80
  6. Step 6: Final answer
    x = 126,056.37

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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.