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Finding the Fourth Proportional to 273,243.01, 409,864.14 and 73,563.61

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Solution

The fourth proportional to 273,243.01, 409,864.14 and 73,563.61 is: 110,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,243.01 : 409,864.14 = 73,563.61 : x
  2. Step 2: Convert to fraction form
    273,243.01/409,864.14 = 73,563.61/x
  3. Step 3: Cross multiply
    273,243.01x = 409,864.14 × 73,563.61
  4. Step 4: Simplify right side
    273,243.01x = 30,151,085,747.95
  5. Step 5: Solve for x
    x = 30,151,085,747.95/273,243.01
  6. Step 6: Final answer
    x = 110,345.31

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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.