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Finding the Fourth Proportional to 275,429.96, 413,033.74 and 106,861.64

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Solution

The fourth proportional to 275,429.96, 413,033.74 and 106,861.64 is: 160,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.96 : 413,033.74 = 106,861.64 : x
  2. Step 2: Convert to fraction form
    275,429.96/413,033.74 = 106,861.64/x
  3. Step 3: Cross multiply
    275,429.96x = 413,033.74 × 106,861.64
  4. Step 4: Simplify right side
    275,429.96x = 44,137,462,831.73
  5. Step 5: Solve for x
    x = 44,137,462,831.73/275,429.96
  6. Step 6: Final answer
    x = 160,249.32

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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.