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Finding the Fourth Proportional to 267,538.50, 401,264 and 80,506.26

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Solution

The fourth proportional to 267,538.50, 401,264 and 80,506.26 is: 120,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,538.50 : 401,264 = 80,506.26 : x
  2. Step 2: Convert to fraction form
    267,538.50/401,264 = 80,506.26/x
  3. Step 3: Cross multiply
    267,538.50x = 401,264 × 80,506.26
  4. Step 4: Simplify right side
    267,538.50x = 32,304,263,912.64
  5. Step 5: Solve for x
    x = 32,304,263,912.64/267,538.50
  6. Step 6: Final answer
    x = 120,746.22

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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.