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Finding the Fourth Proportional to 354,149.25, 531,327.65 and 114,258.27

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Solution

The fourth proportional to 354,149.25, 531,327.65 and 114,258.27 is: 171,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,149.25 : 531,327.65 = 114,258.27 : x
  2. Step 2: Convert to fraction form
    354,149.25/531,327.65 = 114,258.27/x
  3. Step 3: Cross multiply
    354,149.25x = 531,327.65 × 114,258.27
  4. Step 4: Simplify right side
    354,149.25x = 60,708,577,520.87
  5. Step 5: Solve for x
    x = 60,708,577,520.87/354,149.25
  6. Step 6: Final answer
    x = 171,420.88

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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.