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Finding the Fourth Proportional to 179,754.75, 269,632.17 and 55,095.75

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Solution

The fourth proportional to 179,754.75, 269,632.17 and 55,095.75 is: 82,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,754.75 : 269,632.17 = 55,095.75 : x
  2. Step 2: Convert to fraction form
    179,754.75/269,632.17 = 55,095.75/x
  3. Step 3: Cross multiply
    179,754.75x = 269,632.17 × 55,095.75
  4. Step 4: Simplify right side
    179,754.75x = 14,855,586,630.28
  5. Step 5: Solve for x
    x = 14,855,586,630.28/179,754.75
  6. Step 6: Final answer
    x = 82,643.64

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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.