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Finding the Fourth Proportional to 150,542, 225,801.45 and 55,727.65

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Solution

The fourth proportional to 150,542, 225,801.45 and 55,727.65 is: 83,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542 : 225,801.45 = 55,727.65 : x
  2. Step 2: Convert to fraction form
    150,542/225,801.45 = 55,727.65/x
  3. Step 3: Cross multiply
    150,542x = 225,801.45 × 55,727.65
  4. Step 4: Simplify right side
    150,542x = 12,583,384,175.09
  5. Step 5: Solve for x
    x = 12,583,384,175.09/150,542
  6. Step 6: Final answer
    x = 83,587.20

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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.