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Finding the Fourth Proportional to 275,560.48, 413,345.52 and 75,879.84

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Solution

The fourth proportional to 275,560.48, 413,345.52 and 75,879.84 is: 113,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,560.48 : 413,345.52 = 75,879.84 : x
  2. Step 2: Convert to fraction form
    275,560.48/413,345.52 = 75,879.84/x
  3. Step 3: Cross multiply
    275,560.48x = 413,345.52 × 75,879.84
  4. Step 4: Simplify right side
    275,560.48x = 31,364,591,922.32
  5. Step 5: Solve for x
    x = 31,364,591,922.32/275,560.48
  6. Step 6: Final answer
    x = 113,821.08

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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.