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Finding the Fourth Proportional to 132,494.24, 182,846.20 and 75,133.68

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Solution

The fourth proportional to 132,494.24, 182,846.20 and 75,133.68 is: 103,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,494.24 : 182,846.20 = 75,133.68 : x
  2. Step 2: Convert to fraction form
    132,494.24/182,846.20 = 75,133.68/x
  3. Step 3: Cross multiply
    132,494.24x = 182,846.20 × 75,133.68
  4. Step 4: Simplify right side
    132,494.24x = 13,737,907,880.02
  5. Step 5: Solve for x
    x = 13,737,907,880.02/132,494.24
  6. Step 6: Final answer
    x = 103,686.83

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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.