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Finding the Fourth Proportional to 132,170.34, 182,395.24 and 71,741

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Solution

The fourth proportional to 132,170.34, 182,395.24 and 71,741 is: 99,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,170.34 : 182,395.24 = 71,741 : x
  2. Step 2: Convert to fraction form
    132,170.34/182,395.24 = 71,741/x
  3. Step 3: Cross multiply
    132,170.34x = 182,395.24 × 71,741
  4. Step 4: Simplify right side
    132,170.34x = 13,085,216,912.84
  5. Step 5: Solve for x
    x = 13,085,216,912.84/132,170.34
  6. Step 6: Final answer
    x = 99,002.67

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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.