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Finding the Fourth Proportional to 144,113.22, 198,819.09 and 96,290.82

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Solution

The fourth proportional to 144,113.22, 198,819.09 and 96,290.82 is: 132,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,113.22 : 198,819.09 = 96,290.82 : x
  2. Step 2: Convert to fraction form
    144,113.22/198,819.09 = 96,290.82/x
  3. Step 3: Cross multiply
    144,113.22x = 198,819.09 × 96,290.82
  4. Step 4: Simplify right side
    144,113.22x = 19,144,453,207.75
  5. Step 5: Solve for x
    x = 19,144,453,207.75/144,113.22
  6. Step 6: Final answer
    x = 132,843.14

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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.