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Finding the Fourth Proportional to 189,660.96, 284,452.82 and 69,676.67

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Solution

The fourth proportional to 189,660.96, 284,452.82 and 69,676.67 is: 104,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,660.96 : 284,452.82 = 69,676.67 : x
  2. Step 2: Convert to fraction form
    189,660.96/284,452.82 = 69,676.67/x
  3. Step 3: Cross multiply
    189,660.96x = 284,452.82 × 69,676.67
  4. Step 4: Simplify right side
    189,660.96x = 19,819,724,595.73
  5. Step 5: Solve for x
    x = 19,819,724,595.73/189,660.96
  6. Step 6: Final answer
    x = 104,500.82

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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.