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Finding the Fourth Proportional to 273,055.85, 409,583.42 and 73,376.24

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Solution

The fourth proportional to 273,055.85, 409,583.42 and 73,376.24 is: 110,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,055.85 : 409,583.42 = 73,376.24 : x
  2. Step 2: Convert to fraction form
    273,055.85/409,583.42 = 73,376.24/x
  3. Step 3: Cross multiply
    273,055.85x = 409,583.42 × 73,376.24
  4. Step 4: Simplify right side
    273,055.85x = 30,053,691,325.94
  5. Step 5: Solve for x
    x = 30,053,691,325.94/273,055.85
  6. Step 6: Final answer
    x = 110,064.26

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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.