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Finding the Fourth Proportional to 84,161.28, 116,229 and 69,872.88

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Solution

The fourth proportional to 84,161.28, 116,229 and 69,872.88 is: 96,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,161.28 : 116,229 = 69,872.88 : x
  2. Step 2: Convert to fraction form
    84,161.28/116,229 = 69,872.88/x
  3. Step 3: Cross multiply
    84,161.28x = 116,229 × 69,872.88
  4. Step 4: Simplify right side
    84,161.28x = 8,121,254,969.52
  5. Step 5: Solve for x
    x = 8,121,254,969.52/84,161.28
  6. Step 6: Final answer
    x = 96,496.33

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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.