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Finding the Fourth Proportional to 221,140.54, 304,932.78 and 149,396

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Solution

The fourth proportional to 221,140.54, 304,932.78 and 149,396 is: 206,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,140.54 : 304,932.78 = 149,396 : x
  2. Step 2: Convert to fraction form
    221,140.54/304,932.78 = 149,396/x
  3. Step 3: Cross multiply
    221,140.54x = 304,932.78 × 149,396
  4. Step 4: Simplify right side
    221,140.54x = 45,555,737,600.88
  5. Step 5: Solve for x
    x = 45,555,737,600.88/221,140.54
  6. Step 6: Final answer
    x = 206,003.56

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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.