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Finding the Fourth Proportional to 109,333.44, 163,890.50 and 38,200.86

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Solution

The fourth proportional to 109,333.44, 163,890.50 and 38,200.86 is: 57,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,333.44 : 163,890.50 = 38,200.86 : x
  2. Step 2: Convert to fraction form
    109,333.44/163,890.50 = 38,200.86/x
  3. Step 3: Cross multiply
    109,333.44x = 163,890.50 × 38,200.86
  4. Step 4: Simplify right side
    109,333.44x = 6,260,757,854.83
  5. Step 5: Solve for x
    x = 6,260,757,854.83/109,333.44
  6. Step 6: Final answer
    x = 57,262.97

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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.