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Finding the Fourth Proportional to 261,891.83, 393,033.40 and 177,451.76

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Solution

The fourth proportional to 261,891.83, 393,033.40 and 177,451.76 is: 266,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,891.83 : 393,033.40 = 177,451.76 : x
  2. Step 2: Convert to fraction form
    261,891.83/393,033.40 = 177,451.76/x
  3. Step 3: Cross multiply
    261,891.83x = 393,033.40 × 177,451.76
  4. Step 4: Simplify right side
    261,891.83x = 69,744,469,107.74
  5. Step 5: Solve for x
    x = 69,744,469,107.74/261,891.83
  6. Step 6: Final answer
    x = 266,310.21

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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.