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Finding the Fourth Proportional to 132,030, 182,198.18 and 75,437.73

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Solution

The fourth proportional to 132,030, 182,198.18 and 75,437.73 is: 104,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 182,198.18 = 75,437.73 : x
  2. Step 2: Convert to fraction form
    132,030/182,198.18 = 75,437.73/x
  3. Step 3: Cross multiply
    132,030x = 182,198.18 × 75,437.73
  4. Step 4: Simplify right side
    132,030x = 13,744,617,297.93
  5. Step 5: Solve for x
    x = 13,744,617,297.93/132,030
  6. Step 6: Final answer
    x = 104,102.23

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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.