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Finding the Fourth Proportional to 275,682.15, 413,416.17 and 107,180.01

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Solution

The fourth proportional to 275,682.15, 413,416.17 and 107,180.01 is: 160,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,682.15 : 413,416.17 = 107,180.01 : x
  2. Step 2: Convert to fraction form
    275,682.15/413,416.17 = 107,180.01/x
  3. Step 3: Cross multiply
    275,682.15x = 413,416.17 × 107,180.01
  4. Step 4: Simplify right side
    275,682.15x = 44,309,949,234.76
  5. Step 5: Solve for x
    x = 44,309,949,234.76/275,682.15
  6. Step 6: Final answer
    x = 160,728.39

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1.5x scale

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.