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Finding the Fourth Proportional to 203,300.68, 280,554.96 and 113,876.68

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Solution

The fourth proportional to 203,300.68, 280,554.96 and 113,876.68 is: 157,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,300.68 : 280,554.96 = 113,876.68 : x
  2. Step 2: Convert to fraction form
    203,300.68/280,554.96 = 113,876.68/x
  3. Step 3: Cross multiply
    203,300.68x = 280,554.96 × 113,876.68
  4. Step 4: Simplify right side
    203,300.68x = 31,948,667,402.33
  5. Step 5: Solve for x
    x = 31,948,667,402.33/203,300.68
  6. Step 6: Final answer
    x = 157,149.83

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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.