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Finding the Fourth Proportional to 132,321.96, 182,604.24 and 75,733.20

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Solution

The fourth proportional to 132,321.96, 182,604.24 and 75,733.20 is: 104,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321.96 : 182,604.24 = 75,733.20 : x
  2. Step 2: Convert to fraction form
    132,321.96/182,604.24 = 75,733.20/x
  3. Step 3: Cross multiply
    132,321.96x = 182,604.24 × 75,733.20
  4. Step 4: Simplify right side
    132,321.96x = 13,829,203,428.77
  5. Step 5: Solve for x
    x = 13,829,203,428.77/132,321.96
  6. Step 6: Final answer
    x = 104,511.78

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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.