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Finding the Fourth Proportional to 279,792.90, 419,717.70 and 90,204.30

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Solution

The fourth proportional to 279,792.90, 419,717.70 and 90,204.30 is: 135,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,792.90 : 419,717.70 = 90,204.30 : x
  2. Step 2: Convert to fraction form
    279,792.90/419,717.70 = 90,204.30/x
  3. Step 3: Cross multiply
    279,792.90x = 419,717.70 × 90,204.30
  4. Step 4: Simplify right side
    279,792.90x = 37,860,341,326.11
  5. Step 5: Solve for x
    x = 37,860,341,326.11/279,792.90
  6. Step 6: Final answer
    x = 135,315.59

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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.