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Finding the Fourth Proportional to 116,661.69, 174,729.96 and 81,757.17

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Solution

The fourth proportional to 116,661.69, 174,729.96 and 81,757.17 is: 122,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,661.69 : 174,729.96 = 81,757.17 : x
  2. Step 2: Convert to fraction form
    116,661.69/174,729.96 = 81,757.17/x
  3. Step 3: Cross multiply
    116,661.69x = 174,729.96 × 81,757.17
  4. Step 4: Simplify right side
    116,661.69x = 14,285,427,043.81
  5. Step 5: Solve for x
    x = 14,285,427,043.81/116,661.69
  6. Step 6: Final answer
    x = 122,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.