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Finding the Fourth Proportional to 267,106.80, 400,510.43 and 182,961.98

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Solution

The fourth proportional to 267,106.80, 400,510.43 and 182,961.98 is: 274,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,106.80 : 400,510.43 = 182,961.98 : x
  2. Step 2: Convert to fraction form
    267,106.80/400,510.43 = 182,961.98/x
  3. Step 3: Cross multiply
    267,106.80x = 400,510.43 × 182,961.98
  4. Step 4: Simplify right side
    267,106.80x = 73,278,178,366.09
  5. Step 5: Solve for x
    x = 73,278,178,366.09/267,106.80
  6. Step 6: Final answer
    x = 274,340.37

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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.