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Finding the Fourth Proportional to 174,321.78, 261,486.30 and 49,662.78

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Solution

The fourth proportional to 174,321.78, 261,486.30 and 49,662.78 is: 74,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,321.78 : 261,486.30 = 49,662.78 : x
  2. Step 2: Convert to fraction form
    174,321.78/261,486.30 = 49,662.78/x
  3. Step 3: Cross multiply
    174,321.78x = 261,486.30 × 49,662.78
  4. Step 4: Simplify right side
    174,321.78x = 12,986,136,589.91
  5. Step 5: Solve for x
    x = 12,986,136,589.91/174,321.78
  6. Step 6: Final answer
    x = 74,495.20

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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.