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Finding the Fourth Proportional to 226,387.92, 339,465.24 and 101,622

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Solution

The fourth proportional to 226,387.92, 339,465.24 and 101,622 is: 152,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,387.92 : 339,465.24 = 101,622 : x
  2. Step 2: Convert to fraction form
    226,387.92/339,465.24 = 101,622/x
  3. Step 3: Cross multiply
    226,387.92x = 339,465.24 × 101,622
  4. Step 4: Simplify right side
    226,387.92x = 34,497,136,619.28
  5. Step 5: Solve for x
    x = 34,497,136,619.28/226,387.92
  6. Step 6: Final answer
    x = 152,380.64

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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.