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Finding the Fourth Proportional to 267,704.68, 401,318.78 and 101,609.32

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Solution

The fourth proportional to 267,704.68, 401,318.78 and 101,609.32 is: 152,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,704.68 : 401,318.78 = 101,609.32 : x
  2. Step 2: Convert to fraction form
    267,704.68/401,318.78 = 101,609.32/x
  3. Step 3: Cross multiply
    267,704.68x = 401,318.78 × 101,609.32
  4. Step 4: Simplify right side
    267,704.68x = 40,777,728,339.03
  5. Step 5: Solve for x
    x = 40,777,728,339.03/267,704.68
  6. Step 6: Final answer
    x = 152,323.55

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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.