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Finding the Fourth Proportional to 200,329.38, 276,443.94 and 109,667.79

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Solution

The fourth proportional to 200,329.38, 276,443.94 and 109,667.79 is: 151,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,329.38 : 276,443.94 = 109,667.79 : x
  2. Step 2: Convert to fraction form
    200,329.38/276,443.94 = 109,667.79/x
  3. Step 3: Cross multiply
    200,329.38x = 276,443.94 × 109,667.79
  4. Step 4: Simplify right side
    200,329.38x = 30,316,995,958.69
  5. Step 5: Solve for x
    x = 30,316,995,958.69/200,329.38
  6. Step 6: Final answer
    x = 151,335.74

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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.