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Finding the Fourth Proportional to 189,204.80, 283,418.40 and 95,763.20

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Solution

The fourth proportional to 189,204.80, 283,418.40 and 95,763.20 is: 143,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,204.80 : 283,418.40 = 95,763.20 : x
  2. Step 2: Convert to fraction form
    189,204.80/283,418.40 = 95,763.20/x
  3. Step 3: Cross multiply
    189,204.80x = 283,418.40 × 95,763.20
  4. Step 4: Simplify right side
    189,204.80x = 27,141,052,922.88
  5. Step 5: Solve for x
    x = 27,141,052,922.88/189,204.80
  6. Step 6: Final answer
    x = 143,448.01

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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.