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Finding the Fourth Proportional to 132,030, 182,201.67 and 75,441.24

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Solution

The fourth proportional to 132,030, 182,201.67 and 75,441.24 is: 104,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 182,201.67 = 75,441.24 : x
  2. Step 2: Convert to fraction form
    132,030/182,201.67 = 75,441.24/x
  3. Step 3: Cross multiply
    132,030x = 182,201.67 × 75,441.24
  4. Step 4: Simplify right side
    132,030x = 13,745,519,914.87
  5. Step 5: Solve for x
    x = 13,745,519,914.87/132,030
  6. Step 6: Final answer
    x = 104,109.07

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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.