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Finding the Fourth Proportional to 120,858.80, 166,650.68 and 82,624.57

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Solution

The fourth proportional to 120,858.80, 166,650.68 and 82,624.57 is: 113,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858.80 : 166,650.68 = 82,624.57 : x
  2. Step 2: Convert to fraction form
    120,858.80/166,650.68 = 82,624.57/x
  3. Step 3: Cross multiply
    120,858.80x = 166,650.68 × 82,624.57
  4. Step 4: Simplify right side
    120,858.80x = 13,769,440,565.14
  5. Step 5: Solve for x
    x = 13,769,440,565.14/120,858.80
  6. Step 6: Final answer
    x = 113,929.98

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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.