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Finding the Fourth Proportional to 96,083.67, 143,494.69 and 81,892.47

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Solution

The fourth proportional to 96,083.67, 143,494.69 and 81,892.47 is: 122,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,083.67 : 143,494.69 = 81,892.47 : x
  2. Step 2: Convert to fraction form
    96,083.67/143,494.69 = 81,892.47/x
  3. Step 3: Cross multiply
    96,083.67x = 143,494.69 × 81,892.47
  4. Step 4: Simplify right side
    96,083.67x = 11,751,134,391.25
  5. Step 5: Solve for x
    x = 11,751,134,391.25/96,083.67
  6. Step 6: Final answer
    x = 122,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.