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Finding the Fourth Proportional to 95,916, 132,420.78 and 85,276.20

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Solution

The fourth proportional to 95,916, 132,420.78 and 85,276.20 is: 117,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,916 : 132,420.78 = 85,276.20 : x
  2. Step 2: Convert to fraction form
    95,916/132,420.78 = 85,276.20/x
  3. Step 3: Cross multiply
    95,916x = 132,420.78 × 85,276.20
  4. Step 4: Simplify right side
    95,916x = 11,292,340,919.44
  5. Step 5: Solve for x
    x = 11,292,340,919.44/95,916
  6. Step 6: Final answer
    x = 117,731.57

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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.