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Finding the Fourth Proportional to 203,101.34, 280,295.61 and 112,465.73

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Solution

The fourth proportional to 203,101.34, 280,295.61 and 112,465.73 is: 155,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,101.34 : 280,295.61 = 112,465.73 : x
  2. Step 2: Convert to fraction form
    203,101.34/280,295.61 = 112,465.73/x
  3. Step 3: Cross multiply
    203,101.34x = 280,295.61 × 112,465.73
  4. Step 4: Simplify right side
    203,101.34x = 31,523,648,992.97
  5. Step 5: Solve for x
    x = 31,523,648,992.97/203,101.34
  6. Step 6: Final answer
    x = 155,211.43

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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.