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Finding the Fourth Proportional to 168,078.17, 231,959.34 and 102,694.98

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Solution

The fourth proportional to 168,078.17, 231,959.34 and 102,694.98 is: 141,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,078.17 : 231,959.34 = 102,694.98 : x
  2. Step 2: Convert to fraction form
    168,078.17/231,959.34 = 102,694.98/x
  3. Step 3: Cross multiply
    168,078.17x = 231,959.34 × 102,694.98
  4. Step 4: Simplify right side
    168,078.17x = 23,821,059,782.11
  5. Step 5: Solve for x
    x = 23,821,059,782.11/168,078.17
  6. Step 6: Final answer
    x = 141,726.08

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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.