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Finding the Fourth Proportional to 394,054.13, 591,164.22 and 127,793.88

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Solution

The fourth proportional to 394,054.13, 591,164.22 and 127,793.88 is: 191,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,054.13 : 591,164.22 = 127,793.88 : x
  2. Step 2: Convert to fraction form
    394,054.13/591,164.22 = 127,793.88/x
  3. Step 3: Cross multiply
    394,054.13x = 591,164.22 × 127,793.88
  4. Step 4: Simplify right side
    394,054.13x = 75,547,168,752.00
  5. Step 5: Solve for x
    x = 75,547,168,752.00/394,054.13
  6. Step 6: Final answer
    x = 191,717.75

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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.