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Finding the Fourth Proportional to 123,208.67, 184,813.19 and 29,714.42

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Solution

The fourth proportional to 123,208.67, 184,813.19 and 29,714.42 is: 44,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,208.67 : 184,813.19 = 29,714.42 : x
  2. Step 2: Convert to fraction form
    123,208.67/184,813.19 = 29,714.42/x
  3. Step 3: Cross multiply
    123,208.67x = 184,813.19 × 29,714.42
  4. Step 4: Simplify right side
    123,208.67x = 5,491,615,676.56
  5. Step 5: Solve for x
    x = 5,491,615,676.56/123,208.67
  6. Step 6: Final answer
    x = 44,571.67

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1.5x scale

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.