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Finding the Fourth Proportional to 126,097.29, 173,959.11 and 83,021.22

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Solution

The fourth proportional to 126,097.29, 173,959.11 and 83,021.22 is: 114,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,097.29 : 173,959.11 = 83,021.22 : x
  2. Step 2: Convert to fraction form
    126,097.29/173,959.11 = 83,021.22/x
  3. Step 3: Cross multiply
    126,097.29x = 173,959.11 × 83,021.22
  4. Step 4: Simplify right side
    126,097.29x = 14,442,297,542.31
  5. Step 5: Solve for x
    x = 14,442,297,542.31/126,097.29
  6. Step 6: Final answer
    x = 114,532.97

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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.