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Finding the Fourth Proportional to 116,997, 175,513.77 and 38,092.65

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Solution

The fourth proportional to 116,997, 175,513.77 and 38,092.65 is: 57,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,997 : 175,513.77 = 38,092.65 : x
  2. Step 2: Convert to fraction form
    116,997/175,513.77 = 38,092.65/x
  3. Step 3: Cross multiply
    116,997x = 175,513.77 × 38,092.65
  4. Step 4: Simplify right side
    116,997x = 6,685,784,610.79
  5. Step 5: Solve for x
    x = 6,685,784,610.79/116,997
  6. Step 6: Final answer
    x = 57,144.92

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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.