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Finding the Fourth Proportional to 267,515.70, 401,079.15 and 109,662.90

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Solution

The fourth proportional to 267,515.70, 401,079.15 and 109,662.90 is: 164,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,515.70 : 401,079.15 = 109,662.90 : x
  2. Step 2: Convert to fraction form
    267,515.70/401,079.15 = 109,662.90/x
  3. Step 3: Cross multiply
    267,515.70x = 401,079.15 × 109,662.90
  4. Step 4: Simplify right side
    267,515.70x = 43,983,502,718.54
  5. Step 5: Solve for x
    x = 43,983,502,718.54/267,515.70
  6. Step 6: Final answer
    x = 164,414.66

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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.