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Finding the Fourth Proportional to 267,517.76, 400,993.67 and 98,929.76

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Solution

The fourth proportional to 267,517.76, 400,993.67 and 98,929.76 is: 148,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,517.76 : 400,993.67 = 98,929.76 : x
  2. Step 2: Convert to fraction form
    267,517.76/400,993.67 = 98,929.76/x
  3. Step 3: Cross multiply
    267,517.76x = 400,993.67 × 98,929.76
  4. Step 4: Simplify right side
    267,517.76x = 39,670,205,776.98
  5. Step 5: Solve for x
    x = 39,670,205,776.98/267,517.76
  6. Step 6: Final answer
    x = 148,289.99

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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.