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Finding the Fourth Proportional to 361,907.66, 542,865.42 and 109,190.41

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Solution

The fourth proportional to 361,907.66, 542,865.42 and 109,190.41 is: 163,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,907.66 : 542,865.42 = 109,190.41 : x
  2. Step 2: Convert to fraction form
    361,907.66/542,865.42 = 109,190.41/x
  3. Step 3: Cross multiply
    361,907.66x = 542,865.42 × 109,190.41
  4. Step 4: Simplify right side
    361,907.66x = 59,275,697,511.65
  5. Step 5: Solve for x
    x = 59,275,697,511.65/361,907.66
  6. Step 6: Final answer
    x = 163,786.80

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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.