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Finding the Fourth Proportional to 279,817.70, 419,726.55 and 92,829.20

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Solution

The fourth proportional to 279,817.70, 419,726.55 and 92,829.20 is: 139,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,817.70 : 419,726.55 = 92,829.20 : x
  2. Step 2: Convert to fraction form
    279,817.70/419,726.55 = 92,829.20/x
  3. Step 3: Cross multiply
    279,817.70x = 419,726.55 × 92,829.20
  4. Step 4: Simplify right side
    279,817.70x = 38,962,879,855.26
  5. Step 5: Solve for x
    x = 38,962,879,855.26/279,817.70
  6. Step 6: Final answer
    x = 139,243.80

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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.