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Finding the Fourth Proportional to 189,855.38, 262,215.68 and 129,321.05

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Solution

The fourth proportional to 189,855.38, 262,215.68 and 129,321.05 is: 178,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,855.38 : 262,215.68 = 129,321.05 : x
  2. Step 2: Convert to fraction form
    189,855.38/262,215.68 = 129,321.05/x
  3. Step 3: Cross multiply
    189,855.38x = 262,215.68 × 129,321.05
  4. Step 4: Simplify right side
    189,855.38x = 33,910,005,106.38
  5. Step 5: Solve for x
    x = 33,910,005,106.38/189,855.38
  6. Step 6: Final answer
    x = 178,609.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.