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Finding the Fourth Proportional to 203,292, 280,542.96 and 113,868

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Solution

The fourth proportional to 203,292, 280,542.96 and 113,868 is: 157,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,292 : 280,542.96 = 113,868 : x
  2. Step 2: Convert to fraction form
    203,292/280,542.96 = 113,868/x
  3. Step 3: Cross multiply
    203,292x = 280,542.96 × 113,868
  4. Step 4: Simplify right side
    203,292x = 31,944,865,769.28
  5. Step 5: Solve for x
    x = 31,944,865,769.28/203,292
  6. Step 6: Final answer
    x = 157,137.84

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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.