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Finding the Fourth Proportional to 275,431.59, 413,092.98 and 75,700.44

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Solution

The fourth proportional to 275,431.59, 413,092.98 and 75,700.44 is: 113,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,431.59 : 413,092.98 = 75,700.44 : x
  2. Step 2: Convert to fraction form
    275,431.59/413,092.98 = 75,700.44/x
  3. Step 3: Cross multiply
    275,431.59x = 413,092.98 × 75,700.44
  4. Step 4: Simplify right side
    275,431.59x = 31,271,320,346.91
  5. Step 5: Solve for x
    x = 31,271,320,346.91/275,431.59
  6. Step 6: Final answer
    x = 113,535.71

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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.