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Finding the Fourth Proportional to 274,042.80, 411,114.96 and 96,662.52

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Solution

The fourth proportional to 274,042.80, 411,114.96 and 96,662.52 is: 145,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,042.80 : 411,114.96 = 96,662.52 : x
  2. Step 2: Convert to fraction form
    274,042.80/411,114.96 = 96,662.52/x
  3. Step 3: Cross multiply
    274,042.80x = 411,114.96 × 96,662.52
  4. Step 4: Simplify right side
    274,042.80x = 39,739,408,043.30
  5. Step 5: Solve for x
    x = 39,739,408,043.30/274,042.80
  6. Step 6: Final answer
    x = 145,011.68

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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.