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Finding the Fourth Proportional to 206,347.36, 309,608.52 and 112,743.76

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Solution

The fourth proportional to 206,347.36, 309,608.52 and 112,743.76 is: 169,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.36 : 309,608.52 = 112,743.76 : x
  2. Step 2: Convert to fraction form
    206,347.36/309,608.52 = 112,743.76/x
  3. Step 3: Cross multiply
    206,347.36x = 309,608.52 × 112,743.76
  4. Step 4: Simplify right side
    206,347.36x = 34,906,428,672.84
  5. Step 5: Solve for x
    x = 34,906,428,672.84/206,347.36
  6. Step 6: Final answer
    x = 169,163.44

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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.