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Finding the Fourth Proportional to 167,823.80, 251,735.70 and 57,015.80

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Solution

The fourth proportional to 167,823.80, 251,735.70 and 57,015.80 is: 85,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,823.80 : 251,735.70 = 57,015.80 : x
  2. Step 2: Convert to fraction form
    167,823.80/251,735.70 = 57,015.80/x
  3. Step 3: Cross multiply
    167,823.80x = 251,735.70 × 57,015.80
  4. Step 4: Simplify right side
    167,823.80x = 14,352,912,324.06
  5. Step 5: Solve for x
    x = 14,352,912,324.06/167,823.80
  6. Step 6: Final answer
    x = 85,523.70

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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.