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Finding the Fourth Proportional to 274,074, 411,163.92 and 96,586.80

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Solution

The fourth proportional to 274,074, 411,163.92 and 96,586.80 is: 144,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,074 : 411,163.92 = 96,586.80 : x
  2. Step 2: Convert to fraction form
    274,074/411,163.92 = 96,586.80/x
  3. Step 3: Cross multiply
    274,074x = 411,163.92 × 96,586.80
  4. Step 4: Simplify right side
    274,074x = 39,713,007,308.26
  5. Step 5: Solve for x
    x = 39,713,007,308.26/274,074
  6. Step 6: Final answer
    x = 144,898.85

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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.