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Finding the Fourth Proportional to 141,253.50, 194,947.16 and 81,637.50

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Solution

The fourth proportional to 141,253.50, 194,947.16 and 81,637.50 is: 112,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,253.50 : 194,947.16 = 81,637.50 : x
  2. Step 2: Convert to fraction form
    141,253.50/194,947.16 = 81,637.50/x
  3. Step 3: Cross multiply
    141,253.50x = 194,947.16 × 81,637.50
  4. Step 4: Simplify right side
    141,253.50x = 15,914,998,366.31
  5. Step 5: Solve for x
    x = 15,914,998,366.31/141,253.50
  6. Step 6: Final answer
    x = 112,669.76

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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.