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Finding the Fourth Proportional to 96,408.94, 132,950.87 and 75,180.46

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Solution

The fourth proportional to 96,408.94, 132,950.87 and 75,180.46 is: 103,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408.94 : 132,950.87 = 75,180.46 : x
  2. Step 2: Convert to fraction form
    96,408.94/132,950.87 = 75,180.46/x
  3. Step 3: Cross multiply
    96,408.94x = 132,950.87 × 75,180.46
  4. Step 4: Simplify right side
    96,408.94x = 9,995,307,564.00
  5. Step 5: Solve for x
    x = 9,995,307,564.00/96,408.94
  6. Step 6: Final answer
    x = 103,676.15

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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.