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Finding the Fourth Proportional to 167,199.76, 250,823.16 and 48,880

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Solution

The fourth proportional to 167,199.76, 250,823.16 and 48,880 is: 73,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,199.76 : 250,823.16 = 48,880 : x
  2. Step 2: Convert to fraction form
    167,199.76/250,823.16 = 48,880/x
  3. Step 3: Cross multiply
    167,199.76x = 250,823.16 × 48,880
  4. Step 4: Simplify right side
    167,199.76x = 12,260,236,060.80
  5. Step 5: Solve for x
    x = 12,260,236,060.80/167,199.76
  6. Step 6: Final answer
    x = 73,326.88

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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.