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Finding the Fourth Proportional to 272,996.64, 409,494.48 and 123,289.44

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Solution

The fourth proportional to 272,996.64, 409,494.48 and 123,289.44 is: 184,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,996.64 : 409,494.48 = 123,289.44 : x
  2. Step 2: Convert to fraction form
    272,996.64/409,494.48 = 123,289.44/x
  3. Step 3: Cross multiply
    272,996.64x = 409,494.48 × 123,289.44
  4. Step 4: Simplify right side
    272,996.64x = 50,486,345,122.29
  5. Step 5: Solve for x
    x = 50,486,345,122.29/272,996.64
  6. Step 6: Final answer
    x = 184,933.94

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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.