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Finding the Fourth Proportional to 257,169.38, 354,811.73 and 166,594.77

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Solution

The fourth proportional to 257,169.38, 354,811.73 and 166,594.77 is: 229,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,169.38 : 354,811.73 = 166,594.77 : x
  2. Step 2: Convert to fraction form
    257,169.38/354,811.73 = 166,594.77/x
  3. Step 3: Cross multiply
    257,169.38x = 354,811.73 × 166,594.77
  4. Step 4: Simplify right side
    257,169.38x = 59,109,777,719.68
  5. Step 5: Solve for x
    x = 59,109,777,719.68/257,169.38
  6. Step 6: Final answer
    x = 229,847.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.