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Finding the Fourth Proportional to 275,572.43, 413,450.63 and 107,098.10

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Solution

The fourth proportional to 275,572.43, 413,450.63 and 107,098.10 is: 160,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,572.43 : 413,450.63 = 107,098.10 : x
  2. Step 2: Convert to fraction form
    275,572.43/413,450.63 = 107,098.10/x
  3. Step 3: Cross multiply
    275,572.43x = 413,450.63 × 107,098.10
  4. Step 4: Simplify right side
    275,572.43x = 44,279,776,381.31
  5. Step 5: Solve for x
    x = 44,279,776,381.31/275,572.43
  6. Step 6: Final answer
    x = 160,682.90

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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.