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Finding the Fourth Proportional to 132,004.96, 182,176.50 and 75,415.12

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Solution

The fourth proportional to 132,004.96, 182,176.50 and 75,415.12 is: 104,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,004.96 : 182,176.50 = 75,415.12 : x
  2. Step 2: Convert to fraction form
    132,004.96/182,176.50 = 75,415.12/x
  3. Step 3: Cross multiply
    132,004.96x = 182,176.50 × 75,415.12
  4. Step 4: Simplify right side
    132,004.96x = 13,738,862,608.68
  5. Step 5: Solve for x
    x = 13,738,862,608.68/132,004.96
  6. Step 6: Final answer
    x = 104,078.38

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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.