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Finding the Fourth Proportional to 141,003, 194,591.82 and 81,406.20

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Solution

The fourth proportional to 141,003, 194,591.82 and 81,406.20 is: 112,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,003 : 194,591.82 = 81,406.20 : x
  2. Step 2: Convert to fraction form
    141,003/194,591.82 = 81,406.20/x
  3. Step 3: Cross multiply
    141,003x = 194,591.82 × 81,406.20
  4. Step 4: Simplify right side
    141,003x = 15,840,980,617.28
  5. Step 5: Solve for x
    x = 15,840,980,617.28/141,003
  6. Step 6: Final answer
    x = 112,344.99

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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.