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Finding the Fourth Proportional to 221,726.54, 305,982.91 and 126,233.23

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Solution

The fourth proportional to 221,726.54, 305,982.91 and 126,233.23 is: 174,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,726.54 : 305,982.91 = 126,233.23 : x
  2. Step 2: Convert to fraction form
    221,726.54/305,982.91 = 126,233.23/x
  3. Step 3: Cross multiply
    221,726.54x = 305,982.91 × 126,233.23
  4. Step 4: Simplify right side
    221,726.54x = 38,625,209,524.18
  5. Step 5: Solve for x
    x = 38,625,209,524.18/221,726.54
  6. Step 6: Final answer
    x = 174,202.02

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