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Finding the Fourth Proportional to 213,806.92, 320,706.94 and 73,566.76

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Solution

The fourth proportional to 213,806.92, 320,706.94 and 73,566.76 is: 110,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,806.92 : 320,706.94 = 73,566.76 : x
  2. Step 2: Convert to fraction form
    213,806.92/320,706.94 = 73,566.76/x
  3. Step 3: Cross multiply
    213,806.92x = 320,706.94 × 73,566.76
  4. Step 4: Simplify right side
    213,806.92x = 23,593,370,485.31
  5. Step 5: Solve for x
    x = 23,593,370,485.31/213,806.92
  6. Step 6: Final answer
    x = 110,348.96

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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.