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Finding the Fourth Proportional to 267,532.97, 369,198.50 and 152,826.80

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Solution

The fourth proportional to 267,532.97, 369,198.50 and 152,826.80 is: 210,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,532.97 : 369,198.50 = 152,826.80 : x
  2. Step 2: Convert to fraction form
    267,532.97/369,198.50 = 152,826.80/x
  3. Step 3: Cross multiply
    267,532.97x = 369,198.50 × 152,826.80
  4. Step 4: Simplify right side
    267,532.97x = 56,423,422,709.67
  5. Step 5: Solve for x
    x = 56,423,422,709.67/267,532.97
  6. Step 6: Final answer
    x = 210,902.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.