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Finding the Fourth Proportional to 132,163.14, 182,384.67 and 71,733.78

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Solution

The fourth proportional to 132,163.14, 182,384.67 and 71,733.78 is: 98,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,163.14 : 182,384.67 = 71,733.78 : x
  2. Step 2: Convert to fraction form
    132,163.14/182,384.67 = 71,733.78/x
  3. Step 3: Cross multiply
    132,163.14x = 182,384.67 × 71,733.78
  4. Step 4: Simplify right side
    132,163.14x = 13,083,142,552.04
  5. Step 5: Solve for x
    x = 13,083,142,552.04/132,163.14
  6. Step 6: Final answer
    x = 98,992.37

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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.