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Finding the Fourth Proportional to 132,092.96, 182,288.26 and 75,505.55

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Solution

The fourth proportional to 132,092.96, 182,288.26 and 75,505.55 is: 104,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,092.96 : 182,288.26 = 75,505.55 : x
  2. Step 2: Convert to fraction form
    132,092.96/182,288.26 = 75,505.55/x
  3. Step 3: Cross multiply
    132,092.96x = 182,288.26 × 75,505.55
  4. Step 4: Simplify right side
    132,092.96x = 13,763,775,329.84
  5. Step 5: Solve for x
    x = 13,763,775,329.84/132,092.96
  6. Step 6: Final answer
    x = 104,197.64

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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.