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Finding the Fourth Proportional to 221,509.27, 305,683.23 and 120,907.27

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Solution

The fourth proportional to 221,509.27, 305,683.23 and 120,907.27 is: 166,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,509.27 : 305,683.23 = 120,907.27 : x
  2. Step 2: Convert to fraction form
    221,509.27/305,683.23 = 120,907.27/x
  3. Step 3: Cross multiply
    221,509.27x = 305,683.23 × 120,907.27
  4. Step 4: Simplify right side
    221,509.27x = 36,959,324,824.08
  5. Step 5: Solve for x
    x = 36,959,324,824.08/221,509.27
  6. Step 6: Final answer
    x = 166,852.27

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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.