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Finding the Fourth Proportional to 228,086.75, 314,746.24 and 126,104.21

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Solution

The fourth proportional to 228,086.75, 314,746.24 and 126,104.21 is: 174,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,086.75 : 314,746.24 = 126,104.21 : x
  2. Step 2: Convert to fraction form
    228,086.75/314,746.24 = 126,104.21/x
  3. Step 3: Cross multiply
    228,086.75x = 314,746.24 × 126,104.21
  4. Step 4: Simplify right side
    228,086.75x = 39,690,825,945.67
  5. Step 5: Solve for x
    x = 39,690,825,945.67/228,086.75
  6. Step 6: Final answer
    x = 174,016.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.