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Finding the Fourth Proportional to 167,231.76, 250,871.16 and 48,912

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Solution

The fourth proportional to 167,231.76, 250,871.16 and 48,912 is: 73,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,231.76 : 250,871.16 = 48,912 : x
  2. Step 2: Convert to fraction form
    167,231.76/250,871.16 = 48,912/x
  3. Step 3: Cross multiply
    167,231.76x = 250,871.16 × 48,912
  4. Step 4: Simplify right side
    167,231.76x = 12,270,610,177.92
  5. Step 5: Solve for x
    x = 12,270,610,177.92/167,231.76
  6. Step 6: Final answer
    x = 73,374.88

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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.