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Finding the Fourth Proportional to 231,997.92, 320,157 and 131,395.92

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Solution

The fourth proportional to 231,997.92, 320,157 and 131,395.92 is: 181,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,997.92 : 320,157 = 131,395.92 : x
  2. Step 2: Convert to fraction form
    231,997.92/320,157 = 131,395.92/x
  3. Step 3: Cross multiply
    231,997.92x = 320,157 × 131,395.92
  4. Step 4: Simplify right side
    231,997.92x = 42,067,323,559.44
  5. Step 5: Solve for x
    x = 42,067,323,559.44/231,997.92
  6. Step 6: Final answer
    x = 181,326.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.