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Finding the Fourth Proportional to 354,039.15, 531,189.95 and 164,601.21

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Solution

The fourth proportional to 354,039.15, 531,189.95 and 164,601.21 is: 246,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,039.15 : 531,189.95 = 164,601.21 : x
  2. Step 2: Convert to fraction form
    354,039.15/531,189.95 = 164,601.21/x
  3. Step 3: Cross multiply
    354,039.15x = 531,189.95 × 164,601.21
  4. Step 4: Simplify right side
    354,039.15x = 87,434,510,604.68
  5. Step 5: Solve for x
    x = 87,434,510,604.68/354,039.15
  6. Step 6: Final answer
    x = 246,962.83

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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.