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Finding the Fourth Proportional to 116,101.69, 174,160.77 and 45,981

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Solution

The fourth proportional to 116,101.69, 174,160.77 and 45,981 is: 68,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,101.69 : 174,160.77 = 45,981 : x
  2. Step 2: Convert to fraction form
    116,101.69/174,160.77 = 45,981/x
  3. Step 3: Cross multiply
    116,101.69x = 174,160.77 × 45,981
  4. Step 4: Simplify right side
    116,101.69x = 8,008,086,192.94
  5. Step 5: Solve for x
    x = 8,008,086,192.94/116,101.69
  6. Step 6: Final answer
    x = 68,974.76

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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.