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Finding the Fourth Proportional to 217,755.48, 326,675.34 and 75,605.88

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Solution

The fourth proportional to 217,755.48, 326,675.34 and 75,605.88 is: 113,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,755.48 : 326,675.34 = 75,605.88 : x
  2. Step 2: Convert to fraction form
    217,755.48/326,675.34 = 75,605.88/x
  3. Step 3: Cross multiply
    217,755.48x = 326,675.34 × 75,605.88
  4. Step 4: Simplify right side
    217,755.48x = 24,698,576,555.00
  5. Step 5: Solve for x
    x = 24,698,576,555.00/217,755.48
  6. Step 6: Final answer
    x = 113,423.44

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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.