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Finding the Fourth Proportional to 167,832.80, 251,749.20 and 57,024.80

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Solution

The fourth proportional to 167,832.80, 251,749.20 and 57,024.80 is: 85,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,832.80 : 251,749.20 = 57,024.80 : x
  2. Step 2: Convert to fraction form
    167,832.80/251,749.20 = 57,024.80/x
  3. Step 3: Cross multiply
    167,832.80x = 251,749.20 × 57,024.80
  4. Step 4: Simplify right side
    167,832.80x = 14,355,947,780.16
  5. Step 5: Solve for x
    x = 14,355,947,780.16/167,832.80
  6. Step 6: Final answer
    x = 85,537.20

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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.