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Finding the Fourth Proportional to 267,359.54, 401,082.12 and 107,435.18

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Solution

The fourth proportional to 267,359.54, 401,082.12 and 107,435.18 is: 161,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,359.54 : 401,082.12 = 107,435.18 : x
  2. Step 2: Convert to fraction form
    267,359.54/401,082.12 = 107,435.18/x
  3. Step 3: Cross multiply
    267,359.54x = 401,082.12 × 107,435.18
  4. Step 4: Simplify right side
    267,359.54x = 43,090,329,756.98
  5. Step 5: Solve for x
    x = 43,090,329,756.98/267,359.54
  6. Step 6: Final answer
    x = 161,169.97

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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.