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Finding the Fourth Proportional to 132,166.46, 182,384.82 and 71,735.80

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Solution

The fourth proportional to 132,166.46, 182,384.82 and 71,735.80 is: 98,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,166.46 : 182,384.82 = 71,735.80 : x
  2. Step 2: Convert to fraction form
    132,166.46/182,384.82 = 71,735.80/x
  3. Step 3: Cross multiply
    132,166.46x = 182,384.82 × 71,735.80
  4. Step 4: Simplify right side
    132,166.46x = 13,083,520,970.56
  5. Step 5: Solve for x
    x = 13,083,520,970.56/132,166.46
  6. Step 6: Final answer
    x = 98,992.75

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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.