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Finding the Fourth Proportional to 205,362.11, 307,613.87 and 165,163.84

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Solution

The fourth proportional to 205,362.11, 307,613.87 and 165,163.84 is: 247,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362.11 : 307,613.87 = 165,163.84 : x
  2. Step 2: Convert to fraction form
    205,362.11/307,613.87 = 165,163.84/x
  3. Step 3: Cross multiply
    205,362.11x = 307,613.87 × 165,163.84
  4. Step 4: Simplify right side
    205,362.11x = 50,806,685,642.57
  5. Step 5: Solve for x
    x = 50,806,685,642.57/205,362.11
  6. Step 6: Final answer
    x = 247,400.49

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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.