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Finding the Fourth Proportional to 230,876.33, 346,025.37 and 123,997.64

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Solution

The fourth proportional to 230,876.33, 346,025.37 and 123,997.64 is: 185,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,876.33 : 346,025.37 = 123,997.64 : x
  2. Step 2: Convert to fraction form
    230,876.33/346,025.37 = 123,997.64/x
  3. Step 3: Cross multiply
    230,876.33x = 346,025.37 × 123,997.64
  4. Step 4: Simplify right side
    230,876.33x = 42,906,327,297.50
  5. Step 5: Solve for x
    x = 42,906,327,297.50/230,876.33
  6. Step 6: Final answer
    x = 185,841.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.