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Finding the Fourth Proportional to 131,027.42, 180,765.32 and 82,613.42

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Solution

The fourth proportional to 131,027.42, 180,765.32 and 82,613.42 is: 113,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,027.42 : 180,765.32 = 82,613.42 : x
  2. Step 2: Convert to fraction form
    131,027.42/180,765.32 = 82,613.42/x
  3. Step 3: Cross multiply
    131,027.42x = 180,765.32 × 82,613.42
  4. Step 4: Simplify right side
    131,027.42x = 14,933,641,302.59
  5. Step 5: Solve for x
    x = 14,933,641,302.59/131,027.42
  6. Step 6: Final answer
    x = 113,973.41

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