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Finding the Fourth Proportional to 166,896.84, 250,345.74 and 48,571

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Solution

The fourth proportional to 166,896.84, 250,345.74 and 48,571 is: 72,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,896.84 : 250,345.74 = 48,571 : x
  2. Step 2: Convert to fraction form
    166,896.84/250,345.74 = 48,571/x
  3. Step 3: Cross multiply
    166,896.84x = 250,345.74 × 48,571
  4. Step 4: Simplify right side
    166,896.84x = 12,159,542,937.54
  5. Step 5: Solve for x
    x = 12,159,542,937.54/166,896.84
  6. Step 6: Final answer
    x = 72,856.64

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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.