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Finding the Fourth Proportional to 267,766, 401,632.67 and 109,990.42

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Solution

The fourth proportional to 267,766, 401,632.67 and 109,990.42 is: 164,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,766 : 401,632.67 = 109,990.42 : x
  2. Step 2: Convert to fraction form
    267,766/401,632.67 = 109,990.42/x
  3. Step 3: Cross multiply
    267,766x = 401,632.67 × 109,990.42
  4. Step 4: Simplify right side
    267,766x = 44,175,745,509.07
  5. Step 5: Solve for x
    x = 44,175,745,509.07/267,766
  6. Step 6: Final answer
    x = 164,978.92

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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.