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Finding the Fourth Proportional to 167,825.80, 251,738.70 and 57,017.80

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Solution

The fourth proportional to 167,825.80, 251,738.70 and 57,017.80 is: 85,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,825.80 : 251,738.70 = 57,017.80 : x
  2. Step 2: Convert to fraction form
    167,825.80/251,738.70 = 57,017.80/x
  3. Step 3: Cross multiply
    167,825.80x = 251,738.70 × 57,017.80
  4. Step 4: Simplify right side
    167,825.80x = 14,353,586,848.86
  5. Step 5: Solve for x
    x = 14,353,586,848.86/167,825.80
  6. Step 6: Final answer
    x = 85,526.70

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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.