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Finding the Fourth Proportional to 127,879.56, 191,594.16 and 113,963.22

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Solution

The fourth proportional to 127,879.56, 191,594.16 and 113,963.22 is: 170,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,879.56 : 191,594.16 = 113,963.22 : x
  2. Step 2: Convert to fraction form
    127,879.56/191,594.16 = 113,963.22/x
  3. Step 3: Cross multiply
    127,879.56x = 191,594.16 × 113,963.22
  4. Step 4: Simplify right side
    127,879.56x = 21,834,687,406.80
  5. Step 5: Solve for x
    x = 21,834,687,406.80/127,879.56
  6. Step 6: Final answer
    x = 170,744.15

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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.