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Finding the Fourth Proportional to 275,380.80, 413,114.24 and 117,610.08

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Solution

The fourth proportional to 275,380.80, 413,114.24 and 117,610.08 is: 176,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,380.80 : 413,114.24 = 117,610.08 : x
  2. Step 2: Convert to fraction form
    275,380.80/413,114.24 = 117,610.08/x
  3. Step 3: Cross multiply
    275,380.80x = 413,114.24 × 117,610.08
  4. Step 4: Simplify right side
    275,380.80x = 48,586,398,815.54
  5. Step 5: Solve for x
    x = 48,586,398,815.54/275,380.80
  6. Step 6: Final answer
    x = 176,433.50

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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.