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Finding the Fourth Proportional to 213,849.92, 320,771.52 and 73,609.76

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Solution

The fourth proportional to 213,849.92, 320,771.52 and 73,609.76 is: 110,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,849.92 : 320,771.52 = 73,609.76 : x
  2. Step 2: Convert to fraction form
    213,849.92/320,771.52 = 73,609.76/x
  3. Step 3: Cross multiply
    213,849.92x = 320,771.52 × 73,609.76
  4. Step 4: Simplify right side
    213,849.92x = 23,611,914,602.04
  5. Step 5: Solve for x
    x = 23,611,914,602.04/213,849.92
  6. Step 6: Final answer
    x = 110,413.48

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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.