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Finding the Fourth Proportional to 275,436.08, 413,106.46 and 73,033.52

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Solution

The fourth proportional to 275,436.08, 413,106.46 and 73,033.52 is: 109,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,436.08 : 413,106.46 = 73,033.52 : x
  2. Step 2: Convert to fraction form
    275,436.08/413,106.46 = 73,033.52/x
  3. Step 3: Cross multiply
    275,436.08x = 413,106.46 × 73,033.52
  4. Step 4: Simplify right side
    275,436.08x = 30,170,618,908.54
  5. Step 5: Solve for x
    x = 30,170,618,908.54/275,436.08
  6. Step 6: Final answer
    x = 109,537.64

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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.