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Finding the Fourth Proportional to 267,178.50, 400,942.71 and 100,966.50

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Solution

The fourth proportional to 267,178.50, 400,942.71 and 100,966.50 is: 151,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,178.50 : 400,942.71 = 100,966.50 : x
  2. Step 2: Convert to fraction form
    267,178.50/400,942.71 = 100,966.50/x
  3. Step 3: Cross multiply
    267,178.50x = 400,942.71 × 100,966.50
  4. Step 4: Simplify right side
    267,178.50x = 40,481,782,129.22
  5. Step 5: Solve for x
    x = 40,481,782,129.22/267,178.50
  6. Step 6: Final answer
    x = 151,515.87

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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.