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Finding the Fourth Proportional to 132,163.50, 182,302.65 and 78,410.46

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Solution

The fourth proportional to 132,163.50, 182,302.65 and 78,410.46 is: 108,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,163.50 : 182,302.65 = 78,410.46 : x
  2. Step 2: Convert to fraction form
    132,163.50/182,302.65 = 78,410.46/x
  3. Step 3: Cross multiply
    132,163.50x = 182,302.65 × 78,410.46
  4. Step 4: Simplify right side
    132,163.50x = 14,294,434,645.72
  5. Step 5: Solve for x
    x = 14,294,434,645.72/132,163.50
  6. Step 6: Final answer
    x = 108,157.20

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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.