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Finding the Fourth Proportional to 188,152.92, 282,257.64 and 55,042.20

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Solution

The fourth proportional to 188,152.92, 282,257.64 and 55,042.20 is: 82,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,152.92 : 282,257.64 = 55,042.20 : x
  2. Step 2: Convert to fraction form
    188,152.92/282,257.64 = 55,042.20/x
  3. Step 3: Cross multiply
    188,152.92x = 282,257.64 × 55,042.20
  4. Step 4: Simplify right side
    188,152.92x = 15,536,081,472.41
  5. Step 5: Solve for x
    x = 15,536,081,472.41/188,152.92
  6. Step 6: Final answer
    x = 82,571.57

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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.