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Finding the Fourth Proportional to 200,489.93, 276,676.10 and 109,849.33

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Solution

The fourth proportional to 200,489.93, 276,676.10 and 109,849.33 is: 151,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.93 : 276,676.10 = 109,849.33 : x
  2. Step 2: Convert to fraction form
    200,489.93/276,676.10 = 109,849.33/x
  3. Step 3: Cross multiply
    200,489.93x = 276,676.10 × 109,849.33
  4. Step 4: Simplify right side
    200,489.93x = 30,392,684,212.01
  5. Step 5: Solve for x
    x = 30,392,684,212.01/200,489.93
  6. Step 6: Final answer
    x = 151,592.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.