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Finding the Fourth Proportional to 267,705.64, 401,491.26 and 109,977.64

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Solution

The fourth proportional to 267,705.64, 401,491.26 and 109,977.64 is: 164,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,705.64 : 401,491.26 = 109,977.64 : x
  2. Step 2: Convert to fraction form
    267,705.64/401,491.26 = 109,977.64/x
  3. Step 3: Cross multiply
    267,705.64x = 401,491.26 × 109,977.64
  4. Step 4: Simplify right side
    267,705.64x = 44,155,061,255.43
  5. Step 5: Solve for x
    x = 44,155,061,255.43/267,705.64
  6. Step 6: Final answer
    x = 164,938.85

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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.