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Finding the Fourth Proportional to 274,021.57, 411,023.08 and 96,523.94

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Solution

The fourth proportional to 274,021.57, 411,023.08 and 96,523.94 is: 144,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,021.57 : 411,023.08 = 96,523.94 : x
  2. Step 2: Convert to fraction form
    274,021.57/411,023.08 = 96,523.94/x
  3. Step 3: Cross multiply
    274,021.57x = 411,023.08 × 96,523.94
  4. Step 4: Simplify right side
    274,021.57x = 39,673,566,220.22
  5. Step 5: Solve for x
    x = 39,673,566,220.22/274,021.57
  6. Step 6: Final answer
    x = 144,782.64

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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.