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Finding the Fourth Proportional to 279,243.50, 418,469.26 and 116,962.71

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Solution

The fourth proportional to 279,243.50, 418,469.26 and 116,962.71 is: 175,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,243.50 : 418,469.26 = 116,962.71 : x
  2. Step 2: Convert to fraction form
    279,243.50/418,469.26 = 116,962.71/x
  3. Step 3: Cross multiply
    279,243.50x = 418,469.26 × 116,962.71
  4. Step 4: Simplify right side
    279,243.50x = 48,945,298,701.29
  5. Step 5: Solve for x
    x = 48,945,298,701.29/279,243.50
  6. Step 6: Final answer
    x = 175,278.20

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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.