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Finding the Fourth Proportional to 132,015.48, 182,191 and 75,425.64

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Solution

The fourth proportional to 132,015.48, 182,191 and 75,425.64 is: 104,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,015.48 : 182,191 = 75,425.64 : x
  2. Step 2: Convert to fraction form
    132,015.48/182,191 = 75,425.64/x
  3. Step 3: Cross multiply
    132,015.48x = 182,191 × 75,425.64
  4. Step 4: Simplify right side
    132,015.48x = 13,741,872,777.24
  5. Step 5: Solve for x
    x = 13,741,872,777.24/132,015.48
  6. Step 6: Final answer
    x = 104,092.89

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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.