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Finding the Fourth Proportional to 274,796.93, 412,254.26 and 85,253.22

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Solution

The fourth proportional to 274,796.93, 412,254.26 and 85,253.22 is: 127,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,796.93 : 412,254.26 = 85,253.22 : x
  2. Step 2: Convert to fraction form
    274,796.93/412,254.26 = 85,253.22/x
  3. Step 3: Cross multiply
    274,796.93x = 412,254.26 × 85,253.22
  4. Step 4: Simplify right side
    274,796.93x = 35,146,002,697.45
  5. Step 5: Solve for x
    x = 35,146,002,697.45/274,796.93
  6. Step 6: Final answer
    x = 127,898.09

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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.