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Finding the Fourth Proportional to 98,891.98, 136,338.78 and 81,833.38

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Solution

The fourth proportional to 98,891.98, 136,338.78 and 81,833.38 is: 112,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,891.98 : 136,338.78 = 81,833.38 : x
  2. Step 2: Convert to fraction form
    98,891.98/136,338.78 = 81,833.38/x
  3. Step 3: Cross multiply
    98,891.98x = 136,338.78 × 81,833.38
  4. Step 4: Simplify right side
    98,891.98x = 11,157,063,192.48
  5. Step 5: Solve for x
    x = 11,157,063,192.48/98,891.98
  6. Step 6: Final answer
    x = 112,820.71

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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.