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Finding the Fourth Proportional to 267,324, 400,674.96 and 109,361.04

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Solution

The fourth proportional to 267,324, 400,674.96 and 109,361.04 is: 163,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,324 : 400,674.96 = 109,361.04 : x
  2. Step 2: Convert to fraction form
    267,324/400,674.96 = 109,361.04/x
  3. Step 3: Cross multiply
    267,324x = 400,674.96 × 109,361.04
  4. Step 4: Simplify right side
    267,324x = 43,818,230,327.56
  5. Step 5: Solve for x
    x = 43,818,230,327.56/267,324
  6. Step 6: Final answer
    x = 163,914.31

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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.