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Finding the Fourth Proportional to 221,201.22, 305,257.14 and 125,707.80

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Solution

The fourth proportional to 221,201.22, 305,257.14 and 125,707.80 is: 173,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,201.22 : 305,257.14 = 125,707.80 : x
  2. Step 2: Convert to fraction form
    221,201.22/305,257.14 = 125,707.80/x
  3. Step 3: Cross multiply
    221,201.22x = 305,257.14 × 125,707.80
  4. Step 4: Simplify right side
    221,201.22x = 38,373,203,503.69
  5. Step 5: Solve for x
    x = 38,373,203,503.69/221,201.22
  6. Step 6: Final answer
    x = 173,476.46

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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.