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Finding the Fourth Proportional to 96,236.64, 132,830.64 and 77,041.44

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Solution

The fourth proportional to 96,236.64, 132,830.64 and 77,041.44 is: 106,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,236.64 : 132,830.64 = 77,041.44 : x
  2. Step 2: Convert to fraction form
    96,236.64/132,830.64 = 77,041.44/x
  3. Step 3: Cross multiply
    96,236.64x = 132,830.64 × 77,041.44
  4. Step 4: Simplify right side
    96,236.64x = 10,233,463,781.72
  5. Step 5: Solve for x
    x = 10,233,463,781.72/96,236.64
  6. Step 6: Final answer
    x = 106,336.46

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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.