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Finding the Fourth Proportional to 394,156.68, 591,081.64 and 127,852.80

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Solution

The fourth proportional to 394,156.68, 591,081.64 and 127,852.80 is: 191,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,156.68 : 591,081.64 = 127,852.80 : x
  2. Step 2: Convert to fraction form
    394,156.68/591,081.64 = 127,852.80/x
  3. Step 3: Cross multiply
    394,156.68x = 591,081.64 × 127,852.80
  4. Step 4: Simplify right side
    394,156.68x = 75,571,442,702.59
  5. Step 5: Solve for x
    x = 75,571,442,702.59/394,156.68
  6. Step 6: Final answer
    x = 191,729.45

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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.