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Finding the Fourth Proportional to 132,564.64, 182,945.60 and 75,976.16

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Solution

The fourth proportional to 132,564.64, 182,945.60 and 75,976.16 is: 104,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,564.64 : 182,945.60 = 75,976.16 : x
  2. Step 2: Convert to fraction form
    132,564.64/182,945.60 = 75,976.16/x
  3. Step 3: Cross multiply
    132,564.64x = 182,945.60 × 75,976.16
  4. Step 4: Simplify right side
    132,564.64x = 13,899,504,176.90
  5. Step 5: Solve for x
    x = 13,899,504,176.90/132,564.64
  6. Step 6: Final answer
    x = 104,850.77

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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.