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Finding the Fourth Proportional to 394,160.68, 591,087.64 and 127,856.80

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Solution

The fourth proportional to 394,160.68, 591,087.64 and 127,856.80 is: 191,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,160.68 : 591,087.64 = 127,856.80 : x
  2. Step 2: Convert to fraction form
    394,160.68/591,087.64 = 127,856.80/x
  3. Step 3: Cross multiply
    394,160.68x = 591,087.64 × 127,856.80
  4. Step 4: Simplify right side
    394,160.68x = 75,574,574,169.95
  5. Step 5: Solve for x
    x = 75,574,574,169.95/394,160.68
  6. Step 6: Final answer
    x = 191,735.45

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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.