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Finding the Fourth Proportional to 215,857, 297,882.66 and 126,433

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Solution

The fourth proportional to 215,857, 297,882.66 and 126,433 is: 174,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,857 : 297,882.66 = 126,433 : x
  2. Step 2: Convert to fraction form
    215,857/297,882.66 = 126,433/x
  3. Step 3: Cross multiply
    215,857x = 297,882.66 × 126,433
  4. Step 4: Simplify right side
    215,857x = 37,662,198,351.78
  5. Step 5: Solve for x
    x = 37,662,198,351.78/215,857
  6. Step 6: Final answer
    x = 174,477.54

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