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Finding the Fourth Proportional to 267,966.82, 401,359.74 and 149,343.94

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Solution

The fourth proportional to 267,966.82, 401,359.74 and 149,343.94 is: 223,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,966.82 : 401,359.74 = 149,343.94 : x
  2. Step 2: Convert to fraction form
    267,966.82/401,359.74 = 149,343.94/x
  3. Step 3: Cross multiply
    267,966.82x = 401,359.74 × 149,343.94
  4. Step 4: Simplify right side
    267,966.82x = 59,940,644,928.98
  5. Step 5: Solve for x
    x = 59,940,644,928.98/267,966.82
  6. Step 6: Final answer
    x = 223,686.82

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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.