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Finding the Fourth Proportional to 273,259.62, 409,769.04 and 123,493.86

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Solution

The fourth proportional to 273,259.62, 409,769.04 and 123,493.86 is: 185,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,259.62 : 409,769.04 = 123,493.86 : x
  2. Step 2: Convert to fraction form
    273,259.62/409,769.04 = 123,493.86/x
  3. Step 3: Cross multiply
    273,259.62x = 409,769.04 × 123,493.86
  4. Step 4: Simplify right side
    273,259.62x = 50,603,960,458.09
  5. Step 5: Solve for x
    x = 50,603,960,458.09/273,259.62
  6. Step 6: Final answer
    x = 185,186.38

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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.