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Finding the Fourth Proportional to 132,091.34, 182,286.02 and 75,503.93

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Solution

The fourth proportional to 132,091.34, 182,286.02 and 75,503.93 is: 104,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,091.34 : 182,286.02 = 75,503.93 : x
  2. Step 2: Convert to fraction form
    132,091.34/182,286.02 = 75,503.93/x
  3. Step 3: Cross multiply
    132,091.34x = 182,286.02 × 75,503.93
  4. Step 4: Simplify right side
    132,091.34x = 13,763,310,171.39
  5. Step 5: Solve for x
    x = 13,763,310,171.39/132,091.34
  6. Step 6: Final answer
    x = 104,195.41

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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.