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Finding the Fourth Proportional to 141,191.21, 194,847.86 and 83,816.48

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Solution

The fourth proportional to 141,191.21, 194,847.86 and 83,816.48 is: 115,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,191.21 : 194,847.86 = 83,816.48 : x
  2. Step 2: Convert to fraction form
    141,191.21/194,847.86 = 83,816.48/x
  3. Step 3: Cross multiply
    141,191.21x = 194,847.86 × 83,816.48
  4. Step 4: Simplify right side
    141,191.21x = 16,331,461,760.73
  5. Step 5: Solve for x
    x = 16,331,461,760.73/141,191.21
  6. Step 6: Final answer
    x = 115,669.11

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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.