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Finding the Fourth Proportional to 196,892.97, 295,325.17 and 76,927.36

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Solution

The fourth proportional to 196,892.97, 295,325.17 and 76,927.36 is: 115,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,892.97 : 295,325.17 = 76,927.36 : x
  2. Step 2: Convert to fraction form
    196,892.97/295,325.17 = 76,927.36/x
  3. Step 3: Cross multiply
    196,892.97x = 295,325.17 × 76,927.36
  4. Step 4: Simplify right side
    196,892.97x = 22,718,585,669.65
  5. Step 5: Solve for x
    x = 22,718,585,669.65/196,892.97
  6. Step 6: Final answer
    x = 115,385.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.