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Finding the Fourth Proportional to 92,197.26, 138,249.63 and 53,741.16

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Solution

The fourth proportional to 92,197.26, 138,249.63 and 53,741.16 is: 80,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,197.26 : 138,249.63 = 53,741.16 : x
  2. Step 2: Convert to fraction form
    92,197.26/138,249.63 = 53,741.16/x
  3. Step 3: Cross multiply
    92,197.26x = 138,249.63 × 53,741.16
  4. Step 4: Simplify right side
    92,197.26x = 7,429,695,485.77
  5. Step 5: Solve for x
    x = 7,429,695,485.77/92,197.26
  6. Step 6: Final answer
    x = 80,584.78

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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.