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Finding the Fourth Proportional to 267,320, 400,668.96 and 109,357.04

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Solution

The fourth proportional to 267,320, 400,668.96 and 109,357.04 is: 163,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,320 : 400,668.96 = 109,357.04 : x
  2. Step 2: Convert to fraction form
    267,320/400,668.96 = 109,357.04/x
  3. Step 3: Cross multiply
    267,320x = 400,668.96 × 109,357.04
  4. Step 4: Simplify right side
    267,320x = 43,815,971,485.48
  5. Step 5: Solve for x
    x = 43,815,971,485.48/267,320
  6. Step 6: Final answer
    x = 163,908.32

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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.