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Finding the Fourth Proportional to 267,871.10, 401,868 and 116,093.64

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Solution

The fourth proportional to 267,871.10, 401,868 and 116,093.64 is: 174,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,871.10 : 401,868 = 116,093.64 : x
  2. Step 2: Convert to fraction form
    267,871.10/401,868 = 116,093.64/x
  3. Step 3: Cross multiply
    267,871.10x = 401,868 × 116,093.64
  4. Step 4: Simplify right side
    267,871.10x = 46,654,318,919.52
  5. Step 5: Solve for x
    x = 46,654,318,919.52/267,871.10
  6. Step 6: Final answer
    x = 174,167.05

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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.