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Finding the Fourth Proportional to 189,233.80, 283,850.70 and 89,404.03

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Solution

The fourth proportional to 189,233.80, 283,850.70 and 89,404.03 is: 134,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,233.80 : 283,850.70 = 89,404.03 : x
  2. Step 2: Convert to fraction form
    189,233.80/283,850.70 = 89,404.03/x
  3. Step 3: Cross multiply
    189,233.80x = 283,850.70 × 89,404.03
  4. Step 4: Simplify right side
    189,233.80x = 25,377,396,517.87
  5. Step 5: Solve for x
    x = 25,377,396,517.87/189,233.80
  6. Step 6: Final answer
    x = 134,106.05

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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.