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Finding the Fourth Proportional to 132,304.56, 182,584.44 and 75,712.56

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Solution

The fourth proportional to 132,304.56, 182,584.44 and 75,712.56 is: 104,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304.56 : 182,584.44 = 75,712.56 : x
  2. Step 2: Convert to fraction form
    132,304.56/182,584.44 = 75,712.56/x
  3. Step 3: Cross multiply
    132,304.56x = 182,584.44 × 75,712.56
  4. Step 4: Simplify right side
    132,304.56x = 13,823,935,368.57
  5. Step 5: Solve for x
    x = 13,823,935,368.57/132,304.56
  6. Step 6: Final answer
    x = 104,485.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.