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Finding the Fourth Proportional to 164,279.45, 246,382 and 75,447.56

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Solution

The fourth proportional to 164,279.45, 246,382 and 75,447.56 is: 113,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,279.45 : 246,382 = 75,447.56 : x
  2. Step 2: Convert to fraction form
    164,279.45/246,382 = 75,447.56/x
  3. Step 3: Cross multiply
    164,279.45x = 246,382 × 75,447.56
  4. Step 4: Simplify right side
    164,279.45x = 18,588,920,727.92
  5. Step 5: Solve for x
    x = 18,588,920,727.92/164,279.45
  6. Step 6: Final answer
    x = 113,154.27

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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.