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Finding the Fourth Proportional to 132,592.13, 182,930.96 and 75,224.69

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Solution

The fourth proportional to 132,592.13, 182,930.96 and 75,224.69 is: 103,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,592.13 : 182,930.96 = 75,224.69 : x
  2. Step 2: Convert to fraction form
    132,592.13/182,930.96 = 75,224.69/x
  3. Step 3: Cross multiply
    132,592.13x = 182,930.96 × 75,224.69
  4. Step 4: Simplify right side
    132,592.13x = 13,760,923,466.62
  5. Step 5: Solve for x
    x = 13,760,923,466.62/132,592.13
  6. Step 6: Final answer
    x = 103,783.87

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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.