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Finding the Fourth Proportional to 267,849.80, 401,761.71 and 99,402.96

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Solution

The fourth proportional to 267,849.80, 401,761.71 and 99,402.96 is: 149,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,849.80 : 401,761.71 = 99,402.96 : x
  2. Step 2: Convert to fraction form
    267,849.80/401,761.71 = 99,402.96/x
  3. Step 3: Cross multiply
    267,849.80x = 401,761.71 × 99,402.96
  4. Step 4: Simplify right side
    267,849.80x = 39,936,303,188.66
  5. Step 5: Solve for x
    x = 39,936,303,188.66/267,849.80
  6. Step 6: Final answer
    x = 149,099.62

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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.