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Finding the Fourth Proportional to 274,086.97, 411,134.97 and 96,596.11

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Solution

The fourth proportional to 274,086.97, 411,134.97 and 96,596.11 is: 144,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,086.97 : 411,134.97 = 96,596.11 : x
  2. Step 2: Convert to fraction form
    274,086.97/411,134.97 = 96,596.11/x
  3. Step 3: Cross multiply
    274,086.97x = 411,134.97 × 96,596.11
  4. Step 4: Simplify right side
    274,086.97x = 39,714,038,786.97
  5. Step 5: Solve for x
    x = 39,714,038,786.97/274,086.97
  6. Step 6: Final answer
    x = 144,895.76

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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.