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Finding the Fourth Proportional to 274,109.62, 411,234.48 and 105,584.72

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Solution

The fourth proportional to 274,109.62, 411,234.48 and 105,584.72 is: 158,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,109.62 : 411,234.48 = 105,584.72 : x
  2. Step 2: Convert to fraction form
    274,109.62/411,234.48 = 105,584.72/x
  3. Step 3: Cross multiply
    274,109.62x = 411,234.48 × 105,584.72
  4. Step 4: Simplify right side
    274,109.62x = 43,420,075,517.45
  5. Step 5: Solve for x
    x = 43,420,075,517.45/274,109.62
  6. Step 6: Final answer
    x = 158,404.06

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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.