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Finding the Fourth Proportional to 221,722.14, 305,879.34 and 135,685.26

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Solution

The fourth proportional to 221,722.14, 305,879.34 and 135,685.26 is: 187,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,722.14 : 305,879.34 = 135,685.26 : x
  2. Step 2: Convert to fraction form
    221,722.14/305,879.34 = 135,685.26/x
  3. Step 3: Cross multiply
    221,722.14x = 305,879.34 × 135,685.26
  4. Step 4: Simplify right side
    221,722.14x = 41,503,317,776.53
  5. Step 5: Solve for x
    x = 41,503,317,776.53/221,722.14
  6. Step 6: Final answer
    x = 187,186.17

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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.